Výsledky vyhledávání - Calculus of functions on infinite-dimensional spaces*

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.

Autoři: Glöckner, Helge¹ (AUTHOR) glockner@math.upb.de

Zdroj: Axioms (2075-1680). May2022, Vol. 11 Issue 5, p221. 38p.

Témata: *VECTOR bundles, *VECTOR spaces, *OPERATOR functions, *VECTOR fields, *TENSOR products, *DIFFERENTIAL calculus, *VECTOR topology

Conforming finite element function spaces in four dimensions, part II: The pentatope and tetrahedral prism.

Autoři: Williams, David M. Nigam, Nilima

Zdroj: Computers & Mathematics with Applications. Aug2024, Vol. 167, p21-53. 33p.

Témata: *FUNCTION spaces, *FINITE element method, *PRISMS, *LINEAR algebra, *DEGREES of freedom

Prox-regular functions in Hilbert spaces

Autoři: Frédéric Bernard Lionel Thibault

Zdroj: Journal of Mathematical Analysis and Applications. 303:1-14

Témata: Calculus of functions on infinite-dimensional spaces, proximal mapping, Derivatives of functions in infinite-dimensional spaces, prox-regular function, Applied Mathematics, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, subdifferential, primal lower nice function, 0101 mathematics, 01 natural sciences, Analysis, Moreau envelope

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2141737
https://doi.org/10.1016/j.jmaa.2004.06.003
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04004718
http://ui.adsabs.harvard.edu/abs/2005JMAA..303....1B/abstract
https://core.ac.uk/display/82003022
https://www.sciencedirect.com/science/article/pii/S0022247X04004718

Extensions of generalized differential calculus in Asplund spaces

Autoři: Bingwu Wang Boris S. Mordukhovich

Zdroj: Journal of Mathematical Analysis and Applications. 272:164-186

Témata: Calculus of functions on infinite-dimensional spaces, generalized differential calculus, Asplund spaces, Applied Mathematics, Nonsmooth analysis, coderivatives, set-valued mappings, 0101 mathematics, subdifferentials, 01 natural sciences, normal cones, Analysis, Set-valued and variational analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0022247X0200149X
https://www.sciencedirect.com/science/article/pii/S0022247X0200149X

Uniform prox-regularity of functions and epigraphs in Hilbert spaces

Autoři: F. Bernard Lionel Thibault

Zdroj: Nonlinear Analysis. 60:187-207

Témata: Calculus of functions on infinite-dimensional spaces, prox-regular sets, uniformly prox-regular functions, epigraph, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Set-valued and function-space-valued mappings on manifolds, prox-regular functions, 0101 mathematics, Nonconvex programming, global optimization, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X04002834

MALLIAVIN CALCULUS FOR NON-GAUSSIAN DIFFERENTIABLE MEASURES AND SURFACE MEASURES IN HILBERT SPACES

Autoři: DA PRATO, GIUSEPPE LUNARDI, ALESSANDRA TUBARO, LUCIANO

Zdroj: Transactions of the American Mathematical Society, 2018 Aug 01. 370(8), 5795-5842.

Přístupová URL adresa: https://www.jstor.org/stable/90022285

Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces: Integration of subdifferentials of lower semicontinuous functions on Banach spaces

Autoři: D. Zagrodny L. Thibault

Zdroj: Journal of Mathematical Analysis and Applications. 189:33-58

Témata: Calculus of functions on infinite-dimensional spaces, Methods involving semicontinuity and convergence, relaxation, Applied Mathematics, Nonsmooth analysis, 0211 other engineering and technologies, subdifferential, integration, 02 engineering and technology, 01 natural sciences, convexly subdifferential similarity, lower semicontinuous convex functions, 0101 mathematics, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X85710037
https://core.ac.uk/display/82626665
https://www.sciencedirect.com/science/article/abs/pii/S0022247X85710037

The Banach-Zarecki theorem for functions with values in metric spaces

Autoři: Luděk Zajíček Jakub Duda

Zdroj: Proceedings of the American Mathematical Society. 133:3631-3633

Témata: Lusin (N) condition, Calculus of functions taking values in infinite-dimensional spaces, Banach-Zarecki theorem, absolute continuity, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-12/S0002-9939-05-07959-1/S0002-9939-05-07959-1.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1377323
https://www.ams.org/journals/proc/2005-133-12/S0002-9939-05-07959-1/home.html

Differential calculus over general base fields and rings: Differential calculus over general base fields and rings.

Autoři: Karl-Hermann Neeb Wolfgang Bertram Helge Glöckner

Zdroj: Expositiones Mathematicae. 22:213-282

Témata: non-archimedian analysis, Mathematics(all), Calculus of functions on infinite-dimensional spaces, Calculus of functions taking values in infinite-dimensional spaces, Infinite-dimensional Lie groups and their Lie algebras: general properties, infinite-dimensional Lie groups, topological fields, polynomial maps, rational manifolds, 01 natural sciences, non-archimedean analysis, differential calculus, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Non-Archimedean analysis, 0101 mathematics, infinite-dimensional manifolds

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2222515
https://doi.org/10.1016/s0723-0869(04)80006-9
https://www.sciencedirect.com/science/article/abs/pii/S0723086904800069
http://tubiblio.ulb.tu-darmstadt.de/8352/
https://hal.archives-ouvertes.fr/hal-00141431
https://www.sciencedirect.com/science/article/pii/S0723086904800069

Unicity of a Holomorphic Functional Calculus in Infinite Dimensions

Autoři: Galé, José E.

Zdroj: Transactions of the American Mathematical Society, 1986 Jun 01. 295(2), 501-508.

Přístupová URL adresa: https://www.jstor.org/stable/2000049

Approximation theory, computing, and deep learning on the Wasserstein space.

Autoři: Fornasier, Massimo Heid, Pascal Sodini, Giacomo Enrico

Zdroj: Mathematical Models & Methods in Applied Sciences. Apr2025, Vol. 35 Issue 4, p825-903. 79p.

Témata: *CALCULUS of variations, *APPROXIMATION theory, *SOBOLEV spaces, *DEEP learning, *TIKHONOV regularization

Metric Inequality, Subdifferential Calculus and Applications: Metric inequality, subdifferential calculus and applications

Autoři: Michel Théra Huynh Van Ngai

Zdroj: Set-Valued Analysis. 9:187-216

Témata: Calculus of functions on infinite-dimensional spaces, Asplund spaces, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, necessary optimality conditions, lower-semicontinuous functions, metric inequality, nonsmooth constrained optimization, Nonlinear programming, chain rule, 0101 mathematics, limiting Fréchet subdifferential

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1656464
https://doi.org/10.1023/a:1011291608129
https://www.unilim.fr/laco/rapports/2000/R2000_13.pdf
https://link.springer.com/article/10.1023/A%3A1011291608129

Bump Functions with Hölder Derivatives: Bump functions with Hölder derivatives

Autoři: Thierry Gaspari

Zdroj: Canadian Journal of Mathematics. 56:699-715

Témata: range of derivatives, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, Continuity and differentiation questions, 0101 mathematics, 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, smooth bump functions

Popis souboru: application/xml

Přístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=983154

Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Autoři: Helge Glöckner

Zdroj: Journal of Functional Analysis. 228:419-444

Témata: Calculus of functions on infinite-dimensional spaces, Differentiability, Infinite-dimensional Lie group, Group Theory (math.GR), 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, 22E65 (Primary) 26E15, 26E20, 26E30, 46T20, 58C20 (Secondary), Power map, FOS: Mathematics, 0101 mathematics, Calculus of functions taking values in infinite-dimensional spaces, Hölder continuity, Taylor expansion, Infinite-dimensional Lie groups and their Lie algebras: general properties, Lipschitz continuity, Smoothness, Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on \(p\)-adic Lie groups, Homomorphism, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Non-Archimedean analysis, Mathematics - Group Theory, infinite-dimensional Lie group, Analysis, differentiability

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0403251
https://www.sciencedirect.com/science/article/pii/S0022123605002892
https://core.ac.uk/display/82696344

Nonsmooth sequential analysis in Asplund spaces

Autoři: Mordukhovich, B.S. Shao, Y.

Zdroj: Transactions of the American Mathematical Society. 348:1235-1280

Témata: Functional calculus for linear operators, Calculus of functions on infinite-dimensional spaces, Asplund spaces, Nonsmooth analysis, 0211 other engineering and technologies, coderivations, 02 engineering and technology, limiting normal cones, Geometry and structure of normed linear spaces, generalized differential calculus, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, generalized subdifferentials, subdifferential calculus, multifunctions

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf
https://zbmath.org/914922
https://doi.org/10.1090/s0002-9947-96-01543-7
https://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf
http://pure.iiasa.ac.at/id/eprint/4684/
https://www.ams.org/tran/1996-348-04/S0002-9947-96-01543-7/

Flett′s mean value theorem in topological vector spaces: Flett's mean value theorem in topological vector spaces

Autoři: Thomas Riedel Prasanna K. Sahoo Robert C. Powers

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 11, Pp 689-694 (2001)

Témata: Calculus of functions taking values in infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, QA1-939, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Gâteaux differentiable functions, 0101 mathematics, 01 natural sciences, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2001/894240.pdf
https://zbmath.org/1716633
https://doi.org/10.1155/s016117120101078x
https://doaj.org/article/e6f81bd06e094cf7a0913d039ac97858
https://www.hindawi.com/journals/ijmms/2001/894240/reprint/
https://downloads.hindawi.com/journals/ijmms/2001/894240.pdf
https://www.hindawi.com/journals/ijmms/2001/894240/
http://downloads.hindawi.com/journals/ijmms/2001/894240.pdf

A Strong Optimization Theorem in Locally Convex Spaces: A strong optimization theorem in locally convex spaces

Autoři: Cheng, L. X. Teng, Y. M.

Zdroj: Chinese Annals of Mathematics. 24:395-402

Témata: convex function, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, locally convex space, geometry of infinite dimensions, 15. Life on land, convexification of nonconvex function, 01 natural sciences, 12. Responsible consumption, Geometry and structure of normed linear spaces, 11. Sustainability, 8. Economic growth, 0101 mathematics, optimization, differentiability

Popis souboru: application/xml

Tangentially ds functions

Autoři: CAPRARI, ELISA Penot Jean Paul Caprari, Elisa a další

Přispěvatelé: CAPRARI, ELISA Penot Jean Paul Caprari, Elisa a další

Zdroj: Optimization. 56:25-38

Témata: NONSMOOTH ANALYSIS, GENERALIZED CONVEXITY, 0211 other engineering and technologies, CALCULUS OF FUNCTIONS ON INFINITE-DIMENSIONAL SPACES, 02 engineering and technology

Popis souboru: STAMPA

Přístupová URL adresa: http://lma.univ-pau.fr/data/pub/pub_pdf2005/0528.pdf
http://www.tandfonline.com/doi/abs/10.1080/02331930600816023

Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers: Sequential convex subdifferential calculus and sequential Lagrange multipliers

Autoři: Lionel Thibault

Zdroj: SIAM Journal on Control and Optimization. 35:1434-1444

Témata: Programming in abstract spaces, Convex programming, Calculus of functions on infinite-dimensional spaces, Convex functions and convex programs in convex geometry, sequential Lagrange multipliers, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, sequential subdifferential calculus, subdifferentials, \(\varepsilon\)-subdifferential

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/10.1137/S0363012995287714
https://locus.siam.org/doi/abs/10.1137/S0363012995287714

Variational derivatives and p‐gradients of functionals on spaces of continuously differentiable functions: Variational derivatives and p-gradients of functionals on spaces of continuously differentiable functions

Autoři: B. Brosowski M. Z. Nashed E. P. Hamilton

Zdroj: Mathematical Methods in the Applied Sciences. 5:530-543

Témata: Miscellaneous applications of functional analysis, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), variational gradient, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Euler-Lagrange equations, Volterra variational derivative, 0101 mathematics, Gâteaux variations, Fréchet and Gateaux differentiability in optimization, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3886625
https://doi.org/10.1002/mma.1670050132
http://onlinelibrary.wiley.com/doi/10.1002/mma.1670050132/abstract