Search Results - "Set functions, measures and integrals with values in ordered spaces"

Uniformity for weak order convergence of Riesz space-valued measures: Uniformity for weak order convergence for Riesz space-valued measures

Authors: Jun Kawabe

Source: Bulletin of the Australian Mathematical Society. 71:265-274

Subject Terms: Dedekind complete Riesz space, weak order convergence, Borel measures, Spaces of measures, convergence of measures, Set functions, measures and integrals with values in ordered spaces, Vector-valued measures and integration, 0101 mathematics, Set functions and measures on topological spaces (regularity of measures, etc.), tightness, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DD61B69835C9C52886A33757FB0F5833/S0004972700038235a.pdf/div-class-title-uniformity-for-weak-order-convergence-of-riesz-space-valued-measures-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DD61B69835C9C52886A33757FB0F5833/S0004972700038235a.pdf/div-class-title-uniformity-for-weak-order-convergence-of-riesz-space-valued-measures-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/uniformity-for-weak-order-convergence-of-riesz-spacevalued-measures/DD61B69835C9C52886A33757FB0F5833

A note on measures with values in a partially ordered vector space

Authors: Thierry Coquand

Source: Positivity. 8:395-400

Subject Terms: Riesz representation theorem, ordered vector space, Set functions, measures and integrals with values in ordered spaces, 0102 computer and information sciences, Vector-valued measures and integration, 0101 mathematics, Ordered abelian groups, Riesz groups, ordered linear spaces, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2Fs11117-004-7399-0
https://research.chalmers.se/publication/10665
https://core.ac.uk/display/70561603
https://rd.springer.com/article/10.1007/s11117-004-7399-0

Quantum-Logics-Valued Measure Convergence Theorem: Quantum-logics-valued measure convergence theorem

Authors: Lu Shijie Cho Minhyung Wu Junde

Source: International Journal of Theoretical Physics. 42:2603-2608

Subject Terms: measures with values in effect algebras, Complemented lattices, orthocomplemented lattices and posets, 0103 physical sciences, Logical foundations of quantum mechanics, quantum logic (quantum-theoretic aspects), Set functions, measures and integrals with values in ordered spaces, Measures on Boolean rings, measure algebras, 0101 mathematics, Vitali-Hahn-Saks theorem, 01 natural sciences, Quantum logic

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Access URL: https://link.springer.com/article/10.1023/B%3AIJTP.0000005978.38235.07
http://ui.adsabs.harvard.edu/abs/2003IJTP...42.2603J/abstract

On a Theorem of Strassen for Vector-Valued Measures: On a theorem of Strassen for vector-valued measures

Authors: Pedro Jiménez Guerra M. J. Muñoz-Bouzo

Source: The Quarterly Journal of Mathematics. 53:285-293

Subject Terms: Banach lattices, norm, order continuity, Set functions, measures and integrals with values in ordered spaces, Strassen's theorem, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, vector lattice, 0101 mathematics, Banach lattice, 01 natural sciences, vector-valued measure

File Description: application/xml

Access URL: https://academic.oup.com/qjmath/article/53/3/285/1634934
https://documat.unirioja.es/servlet/articulo?codigo=2828354
https://dialnet.unirioja.es/servlet/articulo?codigo=2828354

Uniform s-Boundedness and Convergence Results for Measures with Values in Complete l-Groups: Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups

Authors: BOCCUTO, Antonio CANDELORO, Domenico

Source: Journal of Mathematical Analysis and Applications. 265:170-194

Subject Terms: 0301 basic medicine, distributive lattice groups, convergence, measure extension, Applied Mathematics, Set functions, measures and integrals with values in ordered spaces, Vitali–Hahn–Saks–Nikodým theorems, 01 natural sciences, 03 medical and health sciences, l-groups, \(s\)-boundedness, l-group valued measures, 0101 mathematics, uniform s-boundedness, Analysis, Schur theorems

File Description: application/xml

Access URL: https://zbmath.org/1716527
https://doi.org/10.1006/jmaa.2001.7715
https://www.sciencedirect.com/science/article/pii/S0022247X01977157
https://core.ac.uk/display/82458551
https://www.sciencedirect.com/science/article/abs/pii/S0022247X01977157
https://hdl.handle.net/11391/156674

On Lifting Quasi-Radon Measures: On lifting quasi-Radon measures

Authors: S. A. Malyugin

Source: Siberian Mathematical Journal. 42:348-352

Subject Terms: Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, extension of a measure, Functional analytic lifting theory, quasi-Radon measures, Lifting theory, extension of an additive set function, majorizable lifting, transfer principle, lattice valued Borel measure, Set functions, measures and integrals with values in ordered spaces, measure in a Boolean algebra, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1710256
https://eudml.org/doc/49154
https://link.springer.com/content/pdf/10.1023/A:1004897215653.pdf
https://link.springer.com/article/10.1023/A:1004897215653

A Minimax Theorem in Banach Lattices: A minimax theorem in Banach lattices

Authors: D'ANIELLO, Emma

Source: Positivity. 4:143-160

Subject Terms: Banach lattice valued capacity, quasi-regular measure, Set functions, measures and integrals with values in ordered spaces, minimax theorems, Vector-valued set functions, measures and integrals, Contents, measures, outer measures, capacities, Set functions and measures on topological spaces (regularity of measures, etc.), Banach lattice

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1023/A:1009822007637.pdf
https://link.springer.com/article/10.1023/A%3A1009822007637

A non-commutative version of the first alexandroff decomposition theorem in ordered topological groups: A non-commutative version of the first Alexandroff decomposition theorem in ordered topological groups

Authors: DE LUCIA, PAOLO MORALES P.

Source: Rendiconti del Circolo Matematico di Palermo. 49:229-258

Subject Terms: smooth measure, Complemented lattices, orthocomplemented lattices and posets, Group- or semigroup-valued set functions, measures and integrals, orthoalgebra, paving in an orthoposet, 0103 physical sciences, Set functions, measures and integrals with values in ordered spaces, Alexandroff space, regular measure, 0101 mathematics, Wallman extension, 01 natural sciences

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Access URL: https://zbmath.org/1462344
https://doi.org/10.1007/bf02904233
http://hdl.handle.net/11588/138968
https://link.springer.com/article/10.1007/BF02904233
https://hdl.handle.net/11588/138968

On Measures with Values in Partially Ordered Spaces: On measures with values in partially ordered spaces

Authors: Peter Volauf

Source: International Journal of Theoretical Physics. 39:963-968

Subject Terms: lattice structure, ordered vector space, Continuum hypothesis and Martin's axiom, Banach problem, Set functions, measures and integrals with values in ordered spaces, measure, partially ordered Abelian group, 0101 mathematics, Set functions and measures on topological spaces (regularity of measures, etc.), 01 natural sciences

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Access URL: https://link.springer.com/article/10.1023/A:1003655703240
https://link.springer.com/content/pdf/10.1023/A:1003655703240.pdf

Densities of idempotent measures and large deviations

Authors: Marianne Akian

Source: Transactions of the American Mathematical Society. 351:4515-4543

Subject Terms: Nonsmooth analysis, Set functions, measures and integrals with values in ordered spaces, densities of measures, max-plus algebra, idempotent semiring, 01 natural sciences, large deviations, Large deviations, Continuous lattices and posets, applications, continuous lattice, idempotent measure, 0101 mathematics, dioid, optimization

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Access URL: https://www.ams.org/tran/1999-351-11/S0002-9947-99-02153-4/S0002-9947-99-02153-4.pdf
https://zbmath.org/1329221
https://doi.org/10.1090/s0002-9947-99-02153-4
http://www.cmapx.polytechnique.fr/~akian/publis/akian_ams_99.pdf
https://www.ams.org/tran/1999-351-11/S0002-9947-99-02153-4/S0002-9947-99-02153-4.pdf
https://hal.inria.fr/docs/00/07/41/44/PDF/RR-2534.pdf
https://hal.inria.fr/inria-00074144
https://dialnet.unirioja.es/servlet/articulo?codigo=477230
https://documat.unirioja.es/servlet/articulo?codigo=477230

Universal state space embeddability of Jordan-Banach algebras

Authors: Jan Hamhalter

Source: Proceedings of the American Mathematical Society. 127:131-137

Subject Terms: Jordan algebras, Noncommutative measure and integration, Set functions, measures and integrals with values in ordered spaces, Gleason theorem, JB algebras, Noncommutative probability and statistics, generalized orthomodular posets, 01 natural sciences, extensions of measures on projections, Free probability and free operator algebras, Logical foundations of quantum mechanics, quantum logic (quantum-theoretic aspects), positive Stone algebra-valued measure, 0101 mathematics, Nonassociative selfadjoint operator algebras

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Access URL: https://www.ams.org/proc/1999-127-01/S0002-9939-99-04919-9/S0002-9939-99-04919-9.pdf
https://www.ams.org/journals/proc/1999-127-01/S0002-9939-99-04919-9/home.html
https://www.ams.org/proc/1999-127-01/S0002-9939-99-04919-9/S0002-9939-99-04919-9.pdf
https://www.jstor.org/stable/118923

The kurzweil construction of an integral in ordered spaces: The Kurzweil construction of an integral in ordered spaces

Authors: Marta Vrabelova Beloslav Riečan

Source: Czechoslovak Mathematical Journal. 48:565-574

Subject Terms: limit theorems, Set functions, measures and integrals with values in ordered spaces, Denjoy and Perron integrals, other special integrals, Kurzweil-Henstock integral, 0101 mathematics, lattice ordered group valued function, lattice ordered group valued measure, 01 natural sciences

File Description: application/xml

Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/127436/CzechMathJ_48-1998-3_11.pdf
https://zbmath.org/1528759
https://doi.org/10.1023/a:1022483929348
https://link.springer.com/10.1023/A:1022483929348
https://link.springer.com/article/10.1023/A:1022483929348
https://eudml.org/doc/30437

An Extension Result for Continuous Valuations: An extension result for continuous valuations

Authors: Maurizio Alvarez-Manilla N. Saheb-Djahromi Abbas Edalat

Source: Journal of the London Mathematical Society. 61:629-640

Subject Terms: Probability measures on topological spaces, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Set functions, measures and integrals with values in ordered spaces, 0102 computer and information sciences, tau-smooth measure, Set functions and measures on topological spaces (regularity of measures, etc.), 01 natural sciences, Theoretical Computer Science, Continuous lattices and posets, applications, Scott topology, directed complete partial order, probabilistic power domain, 0101 mathematics, continuous directed complete partial order, Computer Science(all)

File Description: application/xml

Access URL: https://academic.oup.com/jlms/article/61/2/629/870771
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/an-extension-result-for-continuous-valuations/EA8DDFADCBB0342E6071A6422904890A
https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/S0024610700008681
https://www.sciencedirect.com/science/article/abs/pii/S1571066105802105
https://www.sciencedirect.com/science/article/pii/S1571066105802105
https://doi.org/10.1016/S1571-0661(05)80210-5

Decomposition of group-valued measures on orthoalgebras

Authors: DE LUCIA, PAOLO MORALES P.

Source: Fundamenta Mathematicae. 158:109-124

Subject Terms: orthomodular posets, decomposition, Group- or semigroup-valued set functions, measures and integrals, orthoalgebra, Set functions, measures and integrals with values in ordered spaces, 0101 mathematics, group-valued measures, Ordered abelian groups, Riesz groups, ordered linear spaces, 01 natural sciences

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/110568?download.pdf
https://zbmath.org/1230612
http://hdl.handle.net/11588/138974
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-fmv158i2p109bwm
http://matwbn.icm.edu.pl/ksiazki/fm/fm158/fm15822.pdf
https://eudml.org/doc/212306
https://hdl.handle.net/11588/138974

Extensions of group-valued modular maps

Authors: Gerd Waldschaks

Source: Archiv der Mathematik. 69:70-74

Subject Terms: Group- or semigroup-valued set functions, measures and integrals, lattice group-valued measures, Set functions, measures and integrals with values in ordered spaces, submodular functions, supermodular extensions, 0101 mathematics, supermodular functions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1052897
https://doi.org/10.1007/s000130050094
https://link.springer.com/content/pdf/10.1007/s000130050094.pdf
https://rd.springer.com/article/10.1007%2Fs000130050094
https://link.springer.com/article/10.1007%2Fs000130050094

Comparison between different types of abstract integrals in Riesz spaces

Authors: BOCCUTO, Antonio SAMBUCINI, Anna Rita

Source: Rendiconti del Circolo Matematico di Palermo. 46:255-278

Subject Terms: Dedekind complete Riesz space, Riesz spacs, Mengoli-Cauchy integral, monotone integral, Riemann integral, Set functions, measures and integrals with values in ordered spaces, concept of integrability, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2FBF02977030
https://link.springer.com/content/pdf/10.1007/BF02977030.pdf
https://hdl.handle.net/11391/156840
http://www.springerlink.com/content/m6r53285875027q7/
https://doi.org/10.1007/BF02977030

Tensor product of a finite number of spectral measures is always a spectral measure

Authors: Michael Solomyak Mikhail Sh. Birman

Source: Integral Equations and Operator Theory. 24:179-187

Subject Terms: Hermitian and normal operators (spectral measures, functional calculus, etc.), Set functions, measures and integrals with values in ordered spaces, spectral measure, Tensor products of linear operators, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/856835
https://doi.org/10.1007/bf01193459
https://link.springer.com/article/10.1007%2FBF01193459

On the Fourier transform of dominated mappings

Authors: S. A. Malyugin Anatoly G. Kusraev

Source: Siberian Mathematical Journal. 35:1141-1156

Subject Terms: quasi-Radon measures, commuting normal operators, Hilbert space, Set functions, measures and integrals with values in ordered spaces, \(K\)-spaces, 0102 computer and information sciences, order-complete lattice-normed spaces, dominated mappings, 01 natural sciences, Banach spaces, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, Lattices of continuous, differentiable or analytic functions, Other transforms and operators of Fourier type, Fourier transform, Vector-valued measures and integration, locally compact Abelian group, 0101 mathematics, arrival spaces, inverse Fourier transforms

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Access URL: https://link.springer.com/content/pdf/10.1007/BF02104715.pdf
https://link.springer.com/article/10.1007%2FBF02104715

Common Extensions of Semigroup-Valued Charges: Common extensions of semigroup-valued charges

Authors: Shortt, R.M. Wehrung, Friedrich Department of Mathematics et al.

Contributors: Shortt, R.M. Wehrung, Friedrich Department of Mathematics et al.

Source: Journal of Mathematical Analysis and Applications. 187:235-258

Subject Terms: common extension, Group- or semigroup-valued set functions, measures and integrals, Applied Mathematics, Set functions, measures and integrals with values in ordered spaces, [MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM], 20M14, Boolean algebra, 16. Peace & justice, grid property, 01 natural sciences, Charge, [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM], two-charge-extension-property, commutative monoid, semigroup-valued measures, 28B10, 0101 mathematics, 28B15, positively preordered commutative semigroup, Analysis

File Description: application/pdf; application/xml

Access URL: https://hal.science/hal-00004679v1
https://doi.org/10.1006/jmaa.1994.1354
https://hal.science/hal-00004679v1/document
https://hal.archives-ouvertes.fr/hal-00004679/document
https://hal.archives-ouvertes.fr/hal-00004679
https://www.sciencedirect.com/science/article/pii/S0022247X84713540

Boolean Valued and Stone Algebra Valued Measure Theories: Boolean valued and Stone algebra valued measure theories

Authors: Hirokazu Nishimura

Source: Mathematical Logic Quarterly. 40:69-75

Subject Terms: Boolean valued analysis, Other aspects of forcing and Boolean-valued models, Radon-Nikodym theorems, Stone algebra valued measures, Set functions, measures and integrals with values in ordered spaces, Nonclassical models (Boolean-valued, sheaf, etc.), 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/636011
https://doi.org/10.1002/malq.19940400110
http://onlinelibrary.wiley.com/doi/10.1002/malq.19940400110/abstract
https://dblp.uni-trier.de/db/journals/mlq/mlq40.html#Nishimura94
https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201902101422941576