Results 51 to 60 of about 89 (74)
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Polyhedral banach spaces and extensions of compact operators
Israel Journal of Mathematics, 1969LetX be a polyhedral Banach space whose dual is anL 1(μ) space for some measureμ. Then for each Banach spacesY ⊆Z and each compact operatorT: Y →X there exists a norm preserving compact extension $$\tilde T:Z \to X$$ Z →X.
A J Lazar
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Three characterizations of polyhedral Banach spaces
Ukrainian Mathematical Journal, 1990An infinite-dimensional Banach space E is called polyhedral, if intersections of all finite dimensional spaces with the unit ball are polyhedra. Three characterizations, up to isomorphism, of such spaces are given. A ``local'' characterization uses a normed set in the unit dual sphere.
V P Fonf, Fonf V P
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Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces
Israel Journal of Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Hajek +2 more
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Extreme points in polyhedral Banach spaces
Israel Journal of Mathematics, 2017Polyhedral Banach spaces were introduced by \textit{V. Klee} at the end of the paper [Acta Math. 103, 243--267 (1960; Zbl 0148.16203)] in 1960 as those real spaces where the unit balls of all subspaces are polygons. \(c_0\) serves as the basic example of such a space, and Klee proved in the last theorem of that paper the non-trivial fact that \(c_0 ...
Carlo Alberto De Bernardi
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An algorithm for the best approximation by elements of a polyhedral set in banach spaces
Numerical Functional Analysis and Optimization, 1983The purpose of this paper is to give an algorithm for finding the best approximation by elements of a polyhedral set of a reflexive and strictly convex Banach space. A dual problem is defined whose solutions can be used to find the solution of the initial one.
Constantin Zălinescu
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The wigner property for CL-spaces and finite-dimensional polyhedral Banach spaces
Proceedings of the Edinburgh Mathematical Society, 2021AbstractWe say that a map $f$ from a Banach space $X$ to another Banach space $Y$ is a phase-isometry if the equality \[ \{\|f(x)+f(y)\|, \|f(x)-f(y)\|\}=\{\|x+y\|, \|x-y\|\} \]holds for all $x,\,y\in X$. A Banach space $X$ is said to have the Wigner property if for any Banach space $Y$ and every surjective phase-isometry $f : X\rightarrow Y$, there ...
Tan, Dongni, Huang, Xujian
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Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces
Functional Analysis and Its Applications, 1978exaly +2 more sources