Results 81 to 90 of about 75,695 (101)

On Banach space properties that are not invariant under the Banach–Mazur distance 1

Journal of Mathematical Analysis and Applications, 2018
We consider which properties of Banach spaces are not invariant under the Banach–Mazur distance 1; we will say that a given Property P is not invariant under the Banach–Mazur distance 1 if there exist two Banach spaces X and Y such that X has Property P ,
Łukasz Piasecki
semanticscholar   +1 more source

Self-Conjugate Polyhedral Banach Spaces

Bulletin of the London Mathematical Society, 1986
Problem 91 (of Mazur) in the Scottish Book asked whether a real finite- dimensional Banach space isometric to its dual is necessarily isometrically an inner-product space. Answering this in the negative, Sztencel and Zaremba asked whether self-conjugate normed spaces with polyhedral unit balls exist for dimensions \(n\geq 3.\) An affirmative answer to ...
openaire   +1 more source

On some special subspaces of a Banach space, from the perspective of best coapproximation

Monatshefte für Mathematik (Print)
We study the best coapproximation problem in Banach spaces, by using Birkhoff–James orthogonality techniques. We introduce two special types of subspaces, christened the anti-coproximinal subspaces and the strongly anti-coproximinal subspaces.
Shamim Sohel, Souvik Ghosh, D. Sain, K. Paul   +3 more
semanticscholar   +1 more source

Dual characterizations of set containments involving uncertain polyhedral sets in Banach spaces with applications

Operations Research Letters, 2020
This article studies the containment problem of a polyhedral set in a Banach space. The first two sections present the background definitions and preliminary results on set containment problems and dual characterizations, followed by a presentation of the dual characterization of set containments defined by lower semicontinuous and sublinear functions.
Hedayat, A., Mohebi, H.
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Pareto Solutions of Polyhedral-valued Vector Optimization Problems in Banach Spaces

Set-Valued and Variational Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isomorphically Polyhedral Banach Spaces

2016
We prove two theorems giving su??cient conditions for a Banach space to be isomorphically polyhedral.
Fonf, V.P., Pallar??s, A.J., Troyanski, S.   +2 more
openaire   +1 more source

Refinements of the Blanco-Koldobsky-Turnšek theorem

The Electronic Journal of Linear Algebra
We refine the well-known Blanco-Koldobsky-Turnšek theorem, which states that a norm one linear operator defined on a Banach space is an isometry if and only if it preserves orthogonality at every element of the space.
Jayanta Manna, Kalidas Mandal, K. Paul, D. Sain   +3 more
semanticscholar   +1 more source

Polyhedrality for twisted sums with C(ωα)

Studia Mathematica
We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of C(α ...
Jesús M. F. Castillo, Alberto Salguero Alarc'on   +1 more
semanticscholar   +1 more source

Polyhedral points, QP-points and Q-points

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
M. V. Kumar, N. Prakash
semanticscholar   +1 more source

Polyhedral Banach spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1981
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