Results 21 to 30 of about 3,393 (69)
A Property in Vector-Valued Function Spaces [PDF]
Results in Mathematics, 2021 This paper deals with a property which is equivalent to generalised-lushness for separable spaces. It thus may be seemed as a geometrical property of a Banach space which ensures the space to have the Mazur–Ulam property.
D. Tan, Kexin Zhao
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Geometric Invariants of Surjective Isometries between Unit Spheres
Mathematics, 2021 In this paper we provide new geometric invariants of surjective isometries between unit spheres of Banach spaces. Let X,Y be Banach spaces and let T:SX→SY be a surjective isometry.
Almudena Campos-Jiménez +1 more
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Extension of isometries from the unit sphere of a rank-2 Cartan factor [PDF]
Analysis and Mathematical Physics, 2019 We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor C onto the unit sphere of a real Banach space Y , admits an extension to a surjective real linear isometry from C onto Y . The conclusion also covers the case in which
Ondvrej F. K. Kalenda, A. M. Peralta
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On the extension of surjective isometries whose domain is the unit sphere of a space of compact operators [PDF]
Filomat, 2020 We prove that every surjective isometry from the unit sphere of the space K(H), of all compact operators on an arbitrary complex Hilbert space H, onto the unit sphere of an arbitrary real Banach space Y can be extended to a surjective real linear ...
A. M. Peralta
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Corrigendum to “On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces” [PDF]
Filomat, 2021 In this note we correct a paper by D. Kang (?On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces?, Filomat, 2017). The research in that paper applies to what the author calls strictly convex spaces. Nevertheless, we prove that this
J. S'anchez, Jos'e Navarro Garmendia
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Extension of isometries and the Mazur–Ulam property
, 2020 María de Nazaret Cueto Avellaneda
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Borsuk–Ulam Property and Sectional Category [PDF]
Bulletin of the Iranian Mathematical Society, 2022 For a Hausdorff space X , a free involution $$\tau :X\rightarrow X$$ τ : X → X and a Hausdorff space Y , we discover a connection between the sectional category of the double covers $$q:X\rightarrow X/\tau $$ q : X → X / τ and $$q^Y:F(Y,2)\rightarrow D(Y,
C. A. I. Zapata, D. Gonçalves
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Some remarks on generalised lush spaces [PDF]
, 2013 X. Huang et al. recently introduced the notion of generalised lush (GL) spaces, which, at least for separable spaces, is a generalisation of the concept of lushness introduced by K. Boyko et al. in 2007. The main result of Huang et al.
Jan-David Hardtke
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Injectivity in Banach spaces and the Mazur-Ulam theorem on isometries
, 1982 A mapping / of an open subset U of a Banach space X into another Banach space Y is said to be (m, M)-isometric if it is a local homeomorphism for which M > D + f(x) and m « D-f(x) for all x G U, where D+f(x) and D~f(x) are, respectively, the upper and ...
J. Gevirtz
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