Results 61 to 70 of about 89 (74)

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.
A. Hedayat, H. Mohebi 0001
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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 ...
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Approximation by Polyhedral $G$ Chains in Banach Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2014
In a Banach space with the metric approximation property, each compactly supported rectifiable G chain whose boundary is rectifiable as well, is approximatable in the flat norm by a polyhedral G
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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
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Proximinality Properties in L_p(μ, X) and Polyhedral Direct Sums of Banach Spaces

Numerical Functional Analysis and Optimization, 2014
For a closed subspace Y of a Banach space X, we define a separably determined property for Y in X. We prove that if the strong -ball property is separably determined for Y in X, then L 1(μ, Y) has the strong -ball property in L 1(μ, X). For an M-embedded space X, we give a class of elements in L 1(μ, X **) having best approximations from L 1(μ, X).
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Polyhedral Banach spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1981
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Some properties of polyhedral Banach spaces

Functional Analysis and Its Applications, 1980
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Some isomorphically polyhedral orlicz sequence spaces

Israel Journal of Mathematics, 1994
Denny Leung, Leung Denny H
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Smallness and the Covering of a Banach Space

Milan Journal of Mathematics, 2012
Pier Luigi Papini, Jesus Castillo, Castillo Jesús M F   +2 more
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