M$M$‐Ideals in real operator algebras: \(M\)-ideals in real operator algebras

Συγγραφείς: David P. Blecher, Matthew Neal, Antonio M. Peralta, Shanshan Su

Πηγή: Mathematische Nachrichten. 298:1328-1341

Θεματικοί όροι: operator algebra, complexification, Jordan algebra, Mathematics - Operator Algebras, \(M\)-ideal, real operator space, Functional Analysis (math.FA), Mathematics - Functional Analysis, operator space, Algebras of operators on Banach spaces and other topological linear spaces, FOS: Mathematics, Primary 46L07, 47L05, 47L25, 47L30, 17C65, Secondary: 46B04, 46L08, 47L75, 17C10, Isometric theory of Banach spaces, Nonassociative selfadjoint operator algebras, Operator Algebras (math.OA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.05383

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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Tingley’s problem for positive unit spheres of operator algebras and diametral relations: Tingley's problem for positive unit spheres of operator algebras and diametral relations

Συγγραφείς: Leung, Chi-Wai, Ng, Chi-Keung, Wong, Ngai-Ching

Πηγή: Transactions of the American Mathematical Society.

Θεματικοί όροι: diametral relations, projection lattices, von Neumann algebras, Jordan \(\ast\)-isomorphisms, General theory of von Neumann algebras, \(AW^\ast\)-algebras, positive unit spheres, Isometric theory of Banach spaces, Tingley's problem, Linear operators in \(C^*\)- or von Neumann algebras, Ordered normed spaces

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$$\varepsilon $$-isometries in $$l^n_1$$: \(\varepsilon\)-isometries in \(l^n_1\)

Συγγραφείς: Vestfrid, Igor A.

Πηγή: Aequationes mathematicae. 98:1647-1655

Θεματικοί όροι: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), \(\varepsilon\)-isometry, Isometric theory of Banach spaces, Classical Banach spaces in the general theory

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On extension of isometries between the positive unit spheres of $$(\sum \ell _p)_{\ell _q}$$: On extension of isometries between the positive unit spheres of \((\sum \ell_p)_{\ell_q}\)

Συγγραφείς: Sun, Longfa, Sun, Yinghua, Li, Lei, Zheng, Zheming

Πηγή: Positivity. 28

Θεματικοί όροι: Banach spaces, positive unit spheres, Isometric theory of Banach spaces, Transformers, preservers (linear operators on spaces of linear operators), linear isometries, Banach sequence spaces, Tingley's problem

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Σύνδεσμος πρόσβασης: https://zbmath.org/7960488
https://doi.org/10.1007/s11117-024-01092-x

Topological group actions by group automorphisms and Banach representations

Συγγραφείς: Megrelishvili, Michael

Πηγή: Forum Mathematicum. 36:327-338

Θεματικοί όροι: Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), General Topology (math.GN), representation on Banach spaces, 37Bxx, 22Dxx, 54H15, 46Bxx, Dynamical Systems (math.DS), Other representations of locally compact groups, Transformation groups and semigroups (topological aspects), 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, FOS: Mathematics, Representations of groups as automorphism groups of algebraic systems, Isometric theory of Banach spaces, equivariant compactification, Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - General Topology

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2110.01386
https://zbmath.org/7812392
https://doi.org/10.1515/forum-2022-0373

Direct sums and abstract Kadets–Klee properties: Direct sums and abstract Kadets-Klee properties

Συγγραφείς: Tomasz Kiwerski, Paweł Kolwicz

Πηγή: Bulletin des Sciences Mathématiques. 200:103587

Θεματικοί όροι: Banach lattices, Mathematics - Functional Analysis, Köthe-Bochner spaces, Spaces of vector- and operator-valued functions, Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.), vector-valued Banach spaces, FOS: Mathematics, Isometric theory of Banach spaces, infinite direct sums of Banach spaces, Kadets-Klee properties, linear Hausdorff topologies, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2411.09430
https://zbmath.org/7991374
https://doi.org/10.1016/j.bulsci.2025.103587

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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Very non-constrained subspaces of Banach spaces: Very non-constrained subspaces of Banach spaces.

Συγγραφείς: Bandyopadhyay, P., Basu, Sudeshna, Dutta, S., Lin, B.-L.

Συνεισφορές: Indian Statistical Institute. India, University of Iowa. USA, Howard University. USA

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

Θεματικοί όροι: hyperplane, Banach spaces, Geometry and structure of normed linear spaces, nicely smooth, 1202.03 Álgebra y Espacios de Banach, 1202 Análisis y Análisis Funcional, Isometric theory of Banach spaces, very non-constrained subspace, Espacios de Banach

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://hdl.handle.net/10662/17876
https://zbmath.org/1998843

An introduction to polynomials on Banach spaces

Συγγραφείς: Aron, Richard

Συνεισφορές: Kent State University. USA

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

Θεματικοί όροι: Banach space, Lower bounds for norms, Extending polynomials to the bidual, 1202.03 Álgebra y Espacios de Banach, Polynomials on Banach spaces, 1202 Análisis y Análisis Funcional, Polinomios, Espacios de Banach, Polinomials, (Spaces of) multilinear mappings, polynomials, Research exposition (monographs, survey articles) pertaining to functional analysis, Isometric theory of Banach spaces, Spaces of operators, tensor products, approximation properties, Zero subspaces of polynomials

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://hdl.handle.net/10662/18827
https://zbmath.org/1894469

Transitivity of the norm on Banach spaces

Συγγραφείς: Becerra Guerrero, Julio, Rodríguez-Palacios, A.

Συνεισφορές: Universidad de Granada

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

Θεματικοί όροι: convex transitivity, maximality of the norm, Transitivity, Transitividad, transitivity of the norm, 1202.03 Álgebra y Espacios de Banach, 1202 Análisis y Análisis Funcional, Banach-Mazur rotation problem, Espacios de Banach, Norma, Banach spaces, Norm, Duality and reflexivity in normed linear and Banach spaces, Jordan structure, surjective linear isometry, Isometric theory of Banach spaces, almost-transitivity, Characterizations of Hilbert spaces, Radon-Nikodým, Kreĭn-Milman and related properties

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Σύνδεσμος πρόσβασης: http://hdl.handle.net/10662/18957
https://zbmath.org/1791680

Isometric structure of transportation cost spaces on finite metric spaces

Συγγραφείς: Sofiya Ostrovska, Mikhail I. Ostrovskii

Πηγή: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116

Θεματικοί όροι: finite metric space, Lipschitz free space, Metric Geometry (math.MG), 0102 computer and information sciences, Embeddings of discrete metric spaces into Banach spaces, applications in topology and computer science, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Metric Geometry, FOS: Mathematics, Mathematics - Combinatorics, Isometric theory of Banach spaces, Combinatorics (math.CO), 0101 mathematics, 46B04 (Primary) 46B85 (Secondary), transportation cost space

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2112.02689
https://zbmath.org/7600351
https://doi.org/10.1007/s13398-022-01301-w

Dynamics of the semigroup of contractive automorphisms of Banach spaces

Συγγραφείς: Félix Cabello Sánchez, Javier Cabello Sánchez

Πηγή: Journal of Mathematical Analysis and Applications. 526:127233

Θεματικοί όροι: Banach space, Hilbert space, 46B03, 46B04, 46C15, Dynamical Systems (math.DS), contractive automorphism, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, semitransitivity, FOS: Mathematics, Isometric theory of Banach spaces, Mathematics - Dynamical Systems, 0101 mathematics, Mazur rotations problem

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2209.04652

Non-commutative analogues of weak compactness criteria in symmetric spaces

Συγγραφείς: K. S. Tulenov, Y. Nessipbayev, Fedor Sukochev

Πηγή: Advances in Operator Theory. 6

Θεματικοί όροι: \( \tau \)-measurable operators, Compactness, General theory of von Neumann algebras, Noncommutative measure and integration, non-commutative Orlicz spaces, Orlicz spaces, relative weak compactness, 01 natural sciences, Noncommutative function spaces, Compactness in Banach (or normed) spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), weak compactness, Algebras of operators on Banach spaces and other topological linear spaces, Pełczynski's property (V), Isometric theory of Banach spaces, finite and semi-finite von Neumann algebras, 0101 mathematics

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Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s43036-021-00129-2
https://www.scilit.net/article/7e85f6e5b45b00d410d69959fc6629b1

Isometric embeddings of finite-dimensional $\ell_p$-spaces over the quaternions: Isometric embeddings of finite-dimensional \(\ell_p\)-spaces over the quaternions

Συγγραφείς: Yu. I. Lyubich, O. A. Shatalova

Πηγή: St. Petersburg Mathematical Journal. 16:9-25

Θεματικοί όροι: Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), addition theorem, cubature formulas, Isometric theory of Banach spaces, 0102 computer and information sciences, isometric embeddings, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://www.ams.org/spmj/2005-16-01/S1061-0022-04-00842-8/S1061-0022-04-00842-8.pdf
https://www.ams.org/journals/spmj/2005-16-01/S1061-0022-04-00842-8/home.html
https://www.ams.org/spmj/2005-16-01/S1061-0022-04-00842-8/S1061-0022-04-00842-8.pdf

The weak metric approximation property

Συγγραφείς: Åsvald Lima, Eve Oja

Πηγή: Mathematische Annalen. 333:471-484

Θεματικοί όροι: Geometry and structure of normed linear spaces, approximation property, Isometric theory of Banach spaces, Linear spaces of operators, Tensor products in functional analysis, 0101 mathematics, Spaces of operators, tensor products, approximation properties, 01 natural sciences

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Σύνδεσμος πρόσβασης: http://home.uia.no/aasvaldl/LO6.pdf
https://zbmath.org/2229993
https://doi.org/10.1007/s00208-005-0656-0
https://link.springer.com/article/10.1007/s00208-005-0656-0
https://link.springer.com/content/pdf/10.1007%2Fs00208-005-0656-0.pdf
http://home.uia.no/aasvaldl/LO6.pdf

The big slice phenomena in M-embedded and L-embedded spaces: The big slice phenomena in \(M\)-embedded and \(L\)-embedded spaces

Συγγραφείς: Ginés Lopez Perez

Πηγή: Proceedings of the American Mathematical Society. 134:273-282

Θεματικοί όροι: \(L\)-embedded space, \(M\)-embedded space, weakly open set, Isometric theory of Banach spaces, JBW\(^*\)-triple, Radon-Nikodym property, 0101 mathematics, Nonassociative selfadjoint operator algebras, diameter, \(M\)-ideal, Radon-Nikodým, Kreĭn-Milman and related properties, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://www.ams.org/proc/2006-134-01/S0002-9939-05-08233-X/S0002-9939-05-08233-X.pdf
https://www.jstor.org/stable/4098360
https://www.ams.org/proc/2006-134-01/S0002-9939-05-08233-X/S0002-9939-05-08233-X.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1396948
https://www.ams.org/proc/2006-134-01/S0002-9939-05-08233-X/home.html

Isometries between JB*-triples: Isometries between \(JB^*\)-triples

Συγγραφείς: Michael Mackey, Cho-Ho Chu

Πηγή: Mathematische Zeitschrift. 251:615-633

Θεματικοί όροι: Jordan structures on Banach spaces and algebras, isometry, Isometric theory of Banach spaces, \(JB^*\)-triple, 0101 mathematics, Nonassociative selfadjoint operator algebras, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Infinite-dimensional holomorphy, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/2222499
https://doi.org/10.1007/s00209-005-0826-5
https://link.springer.com/article/10.1007/s00209-005-0826-5

The isometries of certain maximum norms

Συγγραφείς: Boris Lavrič

Πηγή: Linear Algebra and its Applications. 405:249-263

Θεματικοί όροι: Numerical Analysis, Algebra and Number Theory, lp-norm, maximum norm, Isometry, 01 natural sciences, Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Maximum norm, isometry, Absolute norm, \(l_p\)-norm, absolute norm, Discrete Mathematics and Combinatorics, Isometric theory of Banach spaces, Geometry and Topology, 0101 mathematics

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Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0024379505001989
https://www.sciencedirect.com/science/article/abs/pii/S0024379505001989
https://core.ac.uk/display/82215977

On mappings of $$\mathbb{Q}^d $$ to $$\mathbb{Q}^d $$ that preserve distances 1 and $$\sqrt 2 $$ and the Beckman-Quarles Theorem: On mappings of \(\mathbb Q^d\) to \(\mathbb Q^d\) that preserve distances 1 and \(\sqrt 2\) and the Beckman-Quarles theorem

Συγγραφείς: Joseph Zaks

Πηγή: Journal of Geometry. 82:195-203

Θεματικοί όροι: Beckman-Quarles Theorem, isometry, Euclidean geometries (general) and generalizations, Isometric theory of Banach spaces, distance preserving mappings, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2232156
https://doi.org/10.1007/s00022-004-1660-3
https://link.springer.com/content/pdf/10.1007/s00022-004-1660-3.pdf
https://link.springer.com/article/10.1007%2Fs00022-004-1660-3