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

Daniell integral on ordered Banach algebra.

Authors: Yahya, Wafa Younus Mustafa, Arwa Nazar Al-Neima, Mohammed Thanoon

Source: AIP Conference Proceedings; 2024, Vol. 3229 Issue 1, p1-8, 8p

Subject Terms: BANACH algebras, FUNCTION spaces, MEASURE theory, BANACH spaces, INTEGRAL functions

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

File Description: application/xml

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

Integral of Ordered Banach Algebra Valued Measurable Functions.

Alternate Title: تكامل الدوال القابلة للقياس ذات قيم جبر بناخ المرتب.

Authors: Yahya, Wafa Y. Al-Mayahi, Noori F.

Source: Iraqi Journal of Science. 2024, Vol. 65 Issue 2, p778-790. 13p.

Subject Terms: *BANACH algebras, *BANACH spaces, *INTEGRABLE functions, *MEASURE theory, *FUNCTIONAL analysis, *INTEGRALS, *SET functions

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

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

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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

Integral representation theorems in partially ordered vector spaces

Authors: PAVLAKOS, PK

Source: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 51:187-215

Subject Terms: quantum probability, Jordan algebras, 4. Education, Set functions, measures and integrals with values in ordered spaces, operator-valued Borel measure, operator Feynman-Kac formula, 16. Peace & justice, 01 natural sciences, Riesz representation theorem, partially ordered vector space, \(C^*\)-algebras, involutory \(O^*\)-algebras, Vector-valued set functions, measures and integrals, Alexandroff representation theorem, \(\sigma\)-measure, Vector-valued measures and integration, 0101 mathematics, semifields, integration process

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/515622F61EA2C3E0C613165DB3BA275F/S1446788700034194a.pdf/div-class-title-integral-representation-theorems-in-partially-ordered-vector-spaces-div.pdf
https://zbmath.org/32087
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700034194
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/integral-representation-theorems-in-partially-ordered-vector-spaces/515622F61EA2C3E0C613165DB3BA275F
https://pergamos.lib.uoa.gr/uoa/dl/object/3044616

Integral over a measure with values in the dual space of a partially ordered Banach space

Authors: A. S. Kholevo

Source: Journal of Soviet Mathematics. 16:934-939

Subject Terms: Banach lattices, Set functions, measures and integrals with values in ordered spaces, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, measure with values in the dual space, 0101 mathematics, 01 natural sciences, Ordered topological linear spaces, vector lattices, partially ordered Banach space

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Access URL: https://link.springer.com/article/10.1007%2FBF01676138

Measurability of functions with values in partially ordered spaces: Measurability of fu ctions with values in partially ordered spaces

Authors: Beloslav Riečan Jozef Dravecký

Source: Časopis pro pěstování matematiky. 100:27-35

Subject Terms: Partial orders, general, Set functions, measures and integrals with values in ordered spaces, Real- or complex-valued set functions, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, Structure theory of lattices, Ordered topological linear spaces, vector lattices

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Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/117865/CasPestMat_100-1975-1_3.pdf

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

Weak convergence and weak compactness in the space of integrable functions with respect to a vector meansure

Authors: Swartz, Charles

Source: Proyecciones (Antofagasta); Vol. 39 No. 1 (2020); 123-133 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 123-133 ; 0717-6279 ; 10.22199/issn.0717-6279-2020

Subject Terms: Weak convergence, Weak compactness, Integrable functions, Measure and integration, 28B15, Set functions, measures and integrals with values in ordered spaces, 28B20, Set-valued set functions and measures, integration of set-valued functions, measurable selections

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Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3875/3334; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3875

Availability: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3875
https://doi.org/10.22199/issn.0717-6279-2020-01-0008

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

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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

Maximal and Tight Extensions of Positive Additive Set Functions: Maximal and tight extensions of positive additive set functions

Authors: Zbigniew Lipecki

Source: Mathematische Nachrichten. 146:167-173

Subject Terms: maximal extension, quasi-measure, tight extension, Set functions, measures and integrals with values in ordered spaces, algebra of sets, Contents, measures, outer measures, capacities, 0101 mathematics, Set functions and measures on topological spaces (regularity of measures, etc.), 01 natural sciences, order complete lattice group

File Description: application/xml

Access URL: https://zbmath.org/4044131
https://doi.org/10.1002/mana.19901460710
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fmana.19901460710
http://onlinelibrary.wiley.com/doi/10.1002/mana.19901460710/pdf

On the Kurzweil integral for functions with values in ordered spaces. III

Authors: Riečan, B. Vrábelová, M.

Subject Terms: monotone convergence theorem, Kurzweil integral, linear lattice, Set functions, measures and integrals with values in ordered spaces, Riesz space, limit theorem, uniformly convergent sequences, Denjoy and Perron integrals, other special integrals

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Access URL: https://zbmath.org/1293648
https://zbmath.org/558648

On the Kurzweil integral for functions with values in ordered spaces. I

Authors: Riečan, Beloslav

Subject Terms: Borel measure, linear lattice, Set functions, measures and integrals with values in ordered spaces, Denjoy and Perron integrals, other special integrals, Kurzweil-Henstock integral

File Description: application/xml

Access URL: https://zbmath.org/9568

Extension of measure-like set functions

Authors: Ján Šipoš

Source: Časopis pro pěstování matematiky. 108:113-121

Subject Terms: Group- or semigroup-valued set functions, measures and integrals, Set functions, measures and integrals with values in ordered spaces, Contents, measures, outer measures, capacities, extensions of set functions with values in an ordered group

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Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/108413/CasPestMat_108-1983-2_1.pdf
https://zbmath.org/3844062
https://doi.org/10.21136/cpm.1983.108413
https://dml.cz/bitstream/handle/10338.dmlcz/108413/CasPestMat_108-1983-2_1.pdf

Generalized almost periodic functions with values in ordered Banach spaces: Generalized almost periodic functions...: M. Kostić.

Authors: Kostić, M.

Source: Afrika Matematika; Jun2025, Vol. 36 Issue 2, p1-20, 20p

Quasi-Radon measures

Authors: S. A. Malyugin

Source: Siberian Mathematical Journal. 32:812-821

Subject Terms: partially ordered vector spaces, quasi-Radon measures, quasi-regular measures, extension, Set functions, measures and integrals with values in ordered spaces, moment problem, integral representation theorem, 0101 mathematics, integrals, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF00971179

Countable extension of measures and ?-integrals with values in vector lattices: Countable extension of measures and \(\sigma\)-integrals with values in vector lattices

Authors: I. I. Shamaev

Source: Mathematical Notes of the Academy of Sciences of the USSR. 39:414-418

Subject Terms: \(\sigma \)-integral, Dedekind \(\sigma \)-complete linear lattice, extension, Set functions, measures and integrals with values in ordered spaces, Egorov property, 0101 mathematics, weak \(\sigma \)-distributivity of countable type, Ordered abelian groups, Riesz groups, ordered linear spaces, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3993898
https://doi.org/10.1007/bf01156683
https://link.springer.com/article/10.1007/BF01156683
https://link.springer.com/content/pdf/10.1007/BF01156683.pdf

Shapley Value of Homogeneous Cooperative Games.

Authors: Vasil'ev, V. A.

Source: Computational Mathematics & Mathematical Physics; Mar2023, Vol. 63 Issue 3, p450-465, 16p

Subject Terms: HOMOGENEOUS polynomials, INTEGRAL representations, SET functions, GAMES

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