Search Results - Derivatives of functions in infinite-dimensional spaces

Maximal directional derivatives in Laakso space

Authors: Marco Capolli Andrea Pinamonti Gareth Speight

Source: Communications in Contemporary Mathematics. 27

Subject Terms: analysis on metric spaces, differentiability, Laakso spaces, Lipschitz functions, maximal directional derivatives, porous sets, Derivatives of functions in infinite-dimensional spaces, 46T20 (Primary), 49J52, 49Q15 (Secondary), Nonsmooth analysis, Geometric measure and integration theory, integral and normal currents in optimization, Metric Geometry (math.MG), 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Metric Geometry, 0103 physical sciences, FOS: Mathematics, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2208.03361
https://hdl.handle.net/11572/438272
https://doi.org/10.1142/S0219199724500172

Optimality conditions for directional efficiency in set-valued optimization

Authors: Maxim, Diana-Elena

Source: Pacific Journal of Optimization. 21:1-16

Subject Terms: directional efficiency, openness, Derivatives of functions in infinite-dimensional spaces, set-valued optimization, sum stability, Optimality conditions and duality in mathematical programming, Set-valued and variational analysis, Set-valued maps in general topology

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Access URL: https://zbmath.org/8027391
https://doi.org/10.61208/pjo-2023-010

On the strongly subdifferentiable points in Lipschitz-free spaces

Authors: Christian Cobollo Sheldon Dantas Petr Hájek et al.

Contributors: Christian Cobollo Sheldon Dantas Petr Hájek et al.

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Subject Terms: strong subdifferentiability, Lipschitz-free spaces, Mathematics - Functional Analysis, Gâteaux differentiability, Geometry and structure of normed linear spaces, Strong subdifferentiability, Derivatives of functions in infinite-dimensional spaces, Fréchet differentiability, Uniformly discrete spaces, FOS: Mathematics, uniformly discrete spaces, Fréchet and Gateaux differentiability in optimization, Functional Analysis (math.FA)

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2406.01269
https://riunet.upv.es/handle/10251/211988
https://zbmath.org/7952570
https://doi.org/10.1007/s43037-024-00389-z
https://hdl.handle.net/10251/211988
https://doi.org/10.1007/s43037-024-00389-z

On the range of the derivatives of a smooth function between Banach spaces: On the range of the derivatives of a smooth function between Banach spaces.

Authors: Azagra Rueda, Daniel Jiménez Sevilla, María Del Mar Deville, Robert et al.

Contributors: Azagra Rueda, Daniel Jiménez Sevilla, María Del Mar Deville, Robert et al.

Source: Docta Complutense
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
E-Prints Complutense. Archivo Institucional de la UCM

Subject Terms: Smooth body, Isomorphic theory (including renorming) of Banach spaces, Banach space, Derivatives of functions in infinite-dimensional spaces, smooth body, Derivative, 01 natural sciences, 517.98, Geometry and structure of normed linear spaces, Smooth bump, derivative, Smooth surjection, 0101 mathematics, smooth surjection, smooth bump, Análisis funcional y teoría de operadores

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Access URL: https://eprints.ucm.es/id/eprint/13961/1/2003ontherange.pdf
https://hdl.handle.net/20.500.14352/49769
https://zbmath.org/1931512
https://doi.org/10.1017/s0305004102006278
http://ui.adsabs.harvard.edu/abs/2003MPCPS.134..163A/abstract
http://www.mat.ucm.es/~dazagrar/articulos/ADJcambridge.pdf
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-range-of-the-derivatives-of-a-smooth-function-between-banach-spaces/8930452DB8CD91FE5EDA0769A5F14D79
https://eprints.ucm.es/13961/1/2003ontherange.pdf
http://eprints.ucm.es/13961/1/2003ontherange.pdf
http://www.mat.ucm.es/~marjim/papers/ADJ5.pdf

On the range of the derivative of Gâteaux-smooth functions on separable banach spaces: On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces

Authors: Deville, R. Hájek, P. (Petr Pavel)

Source: Israel Journal of Mathematics. 145:257-269

Subject Terms: Gâteaux differentiability, Banach space, Derivatives of functions in infinite-dimensional spaces, Gâteaux-Smooth functions, Lipschitz function, 0101 mathematics, 01 natural sciences

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Access URL: http://users.math.cas.cz/~hajek/gat-rang.pdf
https://experts.illinois.edu/en/publications/on-the-range-of-the-derivative-of-gateaux-smooth-functions-on-sep
https://link.springer.com/article/10.1007/BF02786693
https://link.springer.com/content/pdf/10.1007/BF02786693.pdf
https://users.math.cas.cz/~hajek/gat-rang.pdf
http://hdl.handle.net/11104/0116106

Approximation by functions with bounded derivative on Banach spaces: Approximation by functions with bounded derivative on Banach spaces.

Authors: R. Fry

Source: Bulletin of the Australian Mathematical Society. 69:125-131

Subject Terms: Isomorphic theory (including renorming) of Banach spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Derivatives of functions in infinite-dimensional spaces, uniform approximation, Banach spaces of continuous, differentiable or analytic functions, bounded derivative, 0101 mathematics, \(C^1\)-smooth map, 01 natural sciences

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/52547D2ECE8BF4FC441F8E9803D31DCF/S0004972700034316a.pdf/div-class-title-approximation-by-functions-with-bounded-derivative-on-banach-spaces-div.pdf
https://zbmath.org/2076772
https://doi.org/10.1017/s0004972700034316
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/approximation-by-functions-with-bounded-derivative-on-banach-spaces/52547D2ECE8BF4FC441F8E9803D31DCF
http://www.journals.cambridge.org/abstract_S0004972700034316
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972700034316

Spectral Geometry of Partial Differential Operators

Authors: Ruzhansky, Michael Sadybekov, Makhmud Suragan, Durvudkhan

Subject Terms: Hardy Littlewood Inequality, Lebesgue integral, Vlasov Poisson Equations, bounded linear operators, Vlasov Poisson System, Fredholm operators, Generalised Derivative, Riesz' inequality, Nonnegative Measurable Functions, spectral geometry, Symmetric Rearrangement, Dirichlet Laplacian, Euler Poisson System, partial differential operators, spectral invariants, linear differential operators, Banach Space, Separable Infinite Dimensional Hilbert Space, Linear Normed Space, Cauchy Sequence, Hilbert Space, Linear Space, Functional analysis and transforms, Mathematical physics, Probability and statistics, Differential calculus and equations, Applied mathematics

File Description: application/pdf

Relation: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Access URL: https://library.oapen.org/handle/20.500.12657/101514

Solutions and anti-periodic solutions for impulsive differential equations and inclusions containing Atangana-Baleanu fractional derivative of order ζ∈(1,2) in infinite dimensional Banach spaces

Authors: Muneerah Al Nuwairan Ahmed Gamal Ibrahim

Source: AIMS Mathematics, Vol 9, Iss 4, Pp 10386-10415 (2024)

Subject Terms: ab fractional derivative, fractional differential inclusions, instantaneous impulses, solutions and anti-periodic solutions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/6442207269384cee8f6039cf80a5e693

Continuously differentiable spaces

Authors: Venkataraman, M. Jeyamma, S.

Source: Publicationes Mathematicae Debrecen. 18:1-8

Subject Terms: Other ''topological' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), Distributions, generalized functions, distribution spaces, Derivatives of functions in infinite-dimensional spaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3391518

On symmetric $G$-differential and convex functionals in Banach spaces: On symmetric G-differential and convex functionals in Banach spaces

Authors: Burysek, Slavomir

Source: Publicationes Mathematicae Debrecen. 17:145-161

Subject Terms: Derivatives of functions in infinite-dimensional spaces, Equations involving nonlinear operators (general), 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3391566

Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces

Authors: Muneerah Al Nuwairan Ahmed Gamal Ibrahim

Source: AIMS Mathematics, Vol 8, Iss 5, Pp 11752-11780 (2023)

Subject Terms: atangana-baleanu fractional derivative, fractional differential inclusions, instantaneous and noninstantaneous impulses, measure of noncompactness, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/e3e64d9e8849443688bf61fee4088deb

Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension

Authors: Cerrai, Sandra Lunardi, Alessandra

Source: Journal of Differential Equations. 434:113245

Subject Terms: Ornstein-Uhlenbeck, Schauder estimates, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Mathematics - Analysis of PDEs, Derivatives of functions in infinite-dimensional spaces, Probability (math.PR), Transition functions, generators and resolvents, FOS: Mathematics, smoothing, Mathematics - Probability, infinite dimensional analysis, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2111.05421

Infinite Dimensional Banach Space of Besicovitch Functions

Source: Real Analysis Exchange, 2007 Jan 01. 32(2), 319-334.

Access URL: https://www.jstor.org/stable/10.14321/realanalexch.32.2.0319

Bump Functions with Hölder Derivatives: Bump functions with Hölder derivatives

Authors: Thierry Gaspari

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

Subject Terms: 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

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

Uniform Gâteaux smoothness of higher order on separable Banach spaces

Authors: Bednařík, D. University of Hradec Králové. Czech Republic

Contributors: Bednařík, D. University of Hradec Králové. Czech Republic

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: Geometry and structure of normed linear spaces, Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, Gâteaux differentiable, 1202.03 Álgebra y Espacios de Banach, equivalent norm, 1202 Análisis y Análisis Funcional, uniformly Gâteaux differentiable, separable Banach spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), bump function, Espacios de Banach

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Access URL: http://hdl.handle.net/10662/18959
https://zbmath.org/1791682

On the range of the derivative of a real-valued function with bounded support

Authors: T. Gaspari

Source: Studia Mathematica. 153:81-99

Subject Terms: Geometry and structure of normed linear spaces, Derivatives of functions in infinite-dimensional spaces, infinite-dimensional separable Banach space, Continuity and differentiation questions, Fréchet differentiable, range of the derivative, 0101 mathematics, 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, \(C^n\)-smooth bump

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89480?download.pdf
https://zbmath.org/1789680
https://doi.org/10.4064/sm153-1-6
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-1-6
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/153/1/89480/on-the-range-of-the-derivative-of-a-real-valued-function-with-bounded-support
https://eudml.org/doc/284401
http://journals.impan.pl/cgi-bin/doi?sm153-1-6

The Failure of Rolle's Theorem in Infinite-Dimensional Banach Spaces: The failure of Rolle's theorem in infinite-dimensional Banach spaces

Authors: M. Jiménez-Sevilla Daniel Azagra Universidad Complutense de Madrid

Contributors: M. Jiménez-Sevilla Daniel Azagra Universidad Complutense de Madrid

Source: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
Docta Complutense
instname
E-Prints Complutense. Archivo Institucional de la UCM

Subject Terms: Negligibility, smooth norm, Derivatives of functions in infinite-dimensional spaces, 01 natural sciences, Bump, 517.98, Fixed-point theorems, Rolle theorem, Smooth norm, Brouwer fixed point theorem, 0101 mathematics, Analysis, bump, Análisis funcional y teoría de operadores

File Description: application/pdf; application/xml

Access URL: https://eprints.ucm.es/id/eprint/14493/1/2001failure2.pdf
https://hdl.handle.net/20.500.14352/57129
https://zbmath.org/1618693
https://doi.org/10.1006/jfan.2000.3709
http://www.mat.ucm.es/~dazagrar/articulos/AJ2002JFA.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0022123600937091
https://eprints.ucm.es/id/eprint/14493/
http://www.mat.ucm.es/~marjim/papers/rolles.pdf
https://core.ac.uk/display/19716782
https://www.sciencedirect.com/science/article/pii/S0022123600937091

WHITNEY'S TYPE THEOREMS FOR INFINITE DIMENSIONAL SPACES: Whitney's type theorems for infinite dimensional spaces.

Authors: Shkarin, Stanislav

Source: Infinite Dimensional Analysis, Quantum Probability and Related Topics. :141-160

Subject Terms: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Whitney's theorem, Derivatives of functions in infinite-dimensional spaces, 4. Education, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1988939
https://doi.org/10.1142/s021902570000008x
https://pure.qub.ac.uk/portal/en/publications/whitneys-type-theorems-for-infinite-dimensional-spaces(38c8091f-742f-4b44-976a-82c772959cbd).html
https://www.worldscientific.com/doi/abs/10.1142/S021902570000008X

Prox-regular functions in Hilbert spaces

Authors: Frédéric Bernard Lionel Thibault

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

Subject Terms: 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

File Description: application/xml

Access URL: 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

Differentiation of operator functions in non-commutative Lp-spaces: Differentiation of operator functions in non-commutative \(L_{p}\)-spaces

Authors: Fedor Sukochev B. de Pagter

Source: Journal of Functional Analysis. 212:28-75

Subject Terms: operator function, Gâteaux differentiability, Derivatives of functions in infinite-dimensional spaces, double operator integral, 0101 mathematics, 01 natural sciences, Noncommutative function spaces, Analysis, von Neumann algebra

File Description: application/xml

Access URL: https://core.ac.uk/display/82830511
https://www.sciencedirect.com/science/article/pii/S0022123603003860