Additive mappings preserving orthogonality between complex inner product spaces

Συγγραφείς: Lei Li, Siyu Liu, Antonio M. Peralta

Πηγή: Digibug. Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)

Θεματικοί όροι: Mathematics - Functional Analysis, orthogonality preserving additive mappings, Geometry and structure of normed linear spaces, inner product spaces, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Orthogonal additivity and other conditional functional equations, Orthogonality preserving additive mappings, FOS: Mathematics, Euclidean orthogonality, Inner product spaces, Birkhoff orthogonality, Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2410.08101
https://zbmath.org/7996655
https://doi.org/10.1016/j.laa.2025.01.042
https://hdl.handle.net/10481/103432

Remarks on the Laplace transform

Συγγραφείς: Edmunds, D. E., Lang, J.^{Aff2, Aff3, IDs13163025005428_cor1}

Πηγή: Revista Matemática Complutense. :1-9

Perturbations of norm-additive maps between continuous function spaces

Συγγραφείς: Sun, Longfa, Sun, Yinghua

Πηγή: Proceedings of the Edinburgh Mathematical Society. 67:1099-1114

Θεματικοί όροι: Geometry and structure of normed linear spaces, continuous function spaces, Banach spaces of continuous, differentiable or analytic functions, Isometric theory of Banach spaces, norm-additive maps, Banach-Stone theorem, linear isometries, stability

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Smoothness in Orlicz–Lorentz spaces: Smoothness in Orlicz-Lorentz spaces

Συγγραφείς: Wang, Di, Li, Yongjin

Πηγή: Banach Journal of Mathematical Analysis. 19

Θεματικοί όροι: Banach lattices, Geometry and structure of normed linear spaces, Modular spaces, Orlicz-Lorentz space, supporting functional, smooth point, smoothness, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036315
https://doi.org/10.1007/s43037-025-00418-5

The ball-covering property of non-commutative spaces of operators on Banach spaces

Συγγραφείς: Bao, Qiyao, Liu, Rui, Shen, Jie

Πηγή: Banach Journal of Mathematical Analysis. 19

Θεματικοί όροι: Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, unconditional bases, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, FOS: Mathematics, Calkin algebra, non-commutative spaces of operators, ball-covering property, Spaces of operators, tensor products, approximation properties, 46B20, 46B15, 46B28, Noncommutative function spaces, quotient Banach algebras, Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2412.07137

Borel fields and measured fields of Polish spaces, Banach spaces, von Neumann algebras, and C∗${\rm C}^*$‐algebras: Borel fields and measured fields of Polish spaces, Banach spaces, von Neumann algebras, and \(\mathrm{C}^*\)-algebras

Συγγραφείς: Stefaan Vaes, Lise Wouters

Πηγή: Journal of the London Mathematical Society. 111

Θεματικοί όροι: Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, Geometry and structure of normed linear spaces, General theory of von Neumann algebras, General properties and structure of locally compact groups, Mathematics - Operator Algebras, FOS: Mathematics, Mathematics - Logic, Operator Algebras (math.OA), Logic (math.LO), Descriptive set theory, Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.16603

θ-Lebesgue spaces

Συγγραφείς: Choudhury, Shouvik Datta^{Aff1, IDs1095802407259x_cor1}

Πηγή: Journal of Mathematical Sciences. :1-25

The ball-covering property of noncommutative symmetric spaces

Συγγραφείς: Huang, Jinghao, Kudaybergenov, Karimbergen, Liu, Rui

Πηγή: Studia Mathematica. 277:169-190

Θεματικοί όροι: Geometry and structure of normed linear spaces, symmetric operator space, General theory of von Neumann algebras, ball-covering property, Noncommutative function spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), von Neumann algebra

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Commutator estimates for Haar shifts with general measures

Συγγραφείς: Borges, Tainara, Conde Alonso, José M., Pipher, Jill, Wagner, Nathan A.

Πηγή: Journal of Functional Analysis. 289:110945

Θεματικοί όροι: Geometry and structure of normed linear spaces, commutators, Mathematics - Classical Analysis and ODEs, non-doubling measures, Probability (math.PR), Classical Analysis and ODEs (math.CA), FOS: Mathematics, 42B20 (Primary), 60G46 (Secondary), Special integral transforms (Legendre, Hilbert, etc.), Function spaces arising in harmonic analysis, dyadic Hilbert transform, Mathematics - Probability

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.01155
https://zbmath.org/8036430
https://doi.org/10.1016/j.jfa.2025.110945

Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality: Noncommutative distances on graphs: an explicit approach via Birkhoff-James orthogonality

Συγγραφείς: Pierre Clare, Chi-Kwong Li, Edward Poon, Eric Swartz

Πηγή: Journal of Geometry and Physics. 213:105483

Θεματικοί όροι: Geometry and structure of normed linear spaces, Distance in graphs, Mathematics - Operator Algebras, FOS: Mathematics, Birkhoff-James orthogonality, Mathematics - Combinatorics, Combinatorics (math.CO), Operator Algebras (math.OA), noncommutative distances, metric properties of graphs, 58B34, 46B20, 05C12, 05C50, 15A60

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.04146

Hyperbolic valued Beurling weighted bicomplex Lebesgue spaces and some of their geometric characteristics

Συγγραφείς: Erdem Toksoy

Πηγή: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)

Θεματικοί όροι: Bicomplex weighted Lebesgue space, Geometry and structure of normed linear spaces, QA1-939, \(\mathbb{D}\)-Beurling weight, bicomplex weighted Lebesgue space, D $\mathbb{D}$ -Beurling weight, B $\mathbb{B}$ C $\mathbb{C}$ -convexity, \(L^p\)-spaces and other function spaces on groups, semigroups, etc, Mathematics, \(\mathbb{BC}\)-convexity, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Σύνδεσμος πρόσβασης: https://zbmath.org/8034432
https://doi.org/10.1186/s13660-024-03238-7
https://doaj.org/article/072635a2395941c38d346d3d59a20e7e

On the strongly subdifferentiable points in Lipschitz-free spaces

Συγγραφείς: Christian Cobollo, Sheldon Dantas, Petr Hájek, Mingu Jung

Συνεισφορές: Escuela Técnica Superior de Ingeniería de Telecomunicación, Departamento de Matemática Aplicada, Instituto Universitario de Matemática Pura y Aplicada, Generalitat Valenciana, Agencia Estatal de Investigación, Korea Institute for Advanced Study, University of Chemistry and Technology, Praga, Centre for Forestry Research and Experimentation, Repositorio Institucional de la Universitat Politècnica de València Riunet

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

Θεματικοί όροι: 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)

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: 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

Characterizations of ball-covering of separable Banach space and application

Συγγραφείς: Shaoqiang Shang

Πηγή: Communications in Analysis and Mechanics, Vol 15, Iss 4, Pp 831-846 (2023)

Θεματικοί όροι: Geometry and structure of normed linear spaces, Orlicz sequence space, orlicz sequence space, QA801-939, Analytic mechanics, ball-covering property, separable space, strongly exposed point

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Σύνδεσμος πρόσβασης: https://zbmath.org/7919378
https://doi.org/10.3934/cam.2023040
https://doaj.org/article/7aa7e97b10f34003b5fdfdc17ee66ad9

A decomposition theorem for balanced measures

Συγγραφείς: Gregory Baimetov, Ryan Bushling, Ansel Goh, Raymond Guo, Owen Jacobs, Sean Lee

Πηγή: Discrete Mathematics. 348:114389

Θεματικοί όροι: Connectivity, Geometry and structure of normed linear spaces, Optimal transportation, Distance in graphs, optimal transport, 05C12, 05C69, FOS: Mathematics, Mathematics - Combinatorics, balanced measure, Combinatorics (math.CO), Probability theory on algebraic and topological structures, equilibrium condition, Planar graphs, geometric and topological aspects of graph theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2312.08649

Magnitude and Holmes–Thompson intrinsic volumes of convex bodies: Magnitude and Holmes-Thompson intrinsic volumes of convex bodies

Συγγραφείς: Meckes, Mark W.

Πηγή: Canadian Mathematical Bulletin

Θεματικοί όροι: Random convex sets and integral geometry (aspects of convex geometry), Metric Geometry (math.MG), Mahler's conjecture, Convex sets in \(n\) dimensions (including convex hypersurfaces), Metric geometry, 01 natural sciences, Length, area, volume and convex sets (aspects of convex geometry), Functional Analysis (math.FA), Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Sudakov minoration, Mathematics - Metric Geometry, FOS: Mathematics, magnitude, 0101 mathematics, Holmes-Thompson intrinsic volumes

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2206.02600
https://zbmath.org/7741836
https://doi.org/10.4153/s0008439522000728

Continuous orthogonality spaces

Συγγραφείς: Szabó, György

Πηγή: Publicationes Mathematicae Debrecen. 38:311-322

Θεματικοί όροι: orthogonally additive mappings, inner product space, Geometry and structure of normed linear spaces, Generalizations of inner products (semi-inner products, partial inner products, etc.), Birkhoff-James orthogonality, Characterizations of Hilbert spaces, 0101 mathematics, real orthogonality space, continuous orthogonality space, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/22006

Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular: Fixed point property of variable exponent Cesàro complex function space of formal power series under premodular

Συγγραφείς: Awad A. Bakery, Elsayed A. E. Mohamed

Πηγή: Journal of Function Spaces, Vol 2022 (2022)

Θεματικοί όροι: Geometry and structure of normed linear spaces, Fixed-point theorems, QA1-939, Cesàro complex function space of formal power series, Caristi's fixed point theorem, 0101 mathematics, General theory of difference equations, prequasi-ideal generated by \(s\)-numbers, 01 natural sciences, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Riesz operators, eigenvalue distributions, approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

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Σύνδεσμος πρόσβασης: https://doaj.org/article/0fa4eaca312a439396a1e4c0b6e30fdb

Every 2-dimensional Banach space has the Mazur–Ulam property: Every $2$-dimensional Banach space has the Mazur-Ulam property

Συγγραφείς: Taras Banakh

Πηγή: Linear Algebra and its Applications. 632:268-280

Θεματικοί όροι: Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Mathematics - Metric Geometry, 46B04, 46B20, 52A21, 52A10, 53A04, 54E35, 54E40, two-dimensional spaces, FOS: Mathematics, Metric Geometry (math.MG), 0101 mathematics, Tingley's problem, 01 natural sciences, Mazur-Ulam property, Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2103.09268
https://www.sciencedirect.com/science/article/pii/S0024379521003657

The Slice Approximating Property and Figiel-Type Problem on Unit Spheres: The slice approximating property and Figiel-type problem on unit spheres

Συγγραφείς: Li, Lei, Liu, Rui, Yin, Jifu

Πηγή: Results in Mathematics. 79

Θεματικοί όροι: isometries, Geometry and structure of normed linear spaces, slice approximating property: generalized lushness, Figiel operator, Isometric theory of Banach spaces

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LOCAL AND UNIFORM NEAR SMOOTHNESS OF SOME BANACH SPACES: Local and uniform near smoothness of some Banach spaces

Συγγραφείς: Leszek Olszowy

Πηγή: Tamkang Journal of Mathematics. 28:253-263

Θεματικοί όροι: modulus of near smoothness, Geometry and structure of normed linear spaces, measure of noncompactness, local near uniform smoothness, 0101 mathematics, Classical Banach spaces in the general theory, property \(H^*\), 01 natural sciences

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Σύνδεσμος πρόσβασης: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4247/1335
https://zbmath.org/1160514