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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.
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Approximation by Polyhedral $G$ Chains in Banach Spaces
Zeitschrift für Analysis und ihre Anwendungen, 2014In 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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Isomorphically Polyhedral Banach Spaces
2016We prove two theorems giving su??cient conditions for a Banach space to be isomorphically polyhedral.
Fonf, V.P. +2 more
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Extension of Isometries Between Unit Spheres of Finite-Dimensional Polyhedral Banach Spaces
Journal of Mathematical Analysis and Applications, 2012Vladimir Kadets, Miguel Martín
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Polyhedral Norms on Non-Separable Banach Spaces
Journal of Functional Analysis, 2008S Troyanski
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On Isomorphically Polyhedral L∞-Spaces
Journal of Functional Analysis, 2016Pier Luigi Papini, Jesus M F Castillo
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Full Convexity for Polyhedral Models in Digital Spaces
2022Fabien Feschet, Jacques-Olivier Lachaud
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