Three characterizations of polyhedral Banach spaces

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30 Scopus citations

Abstract

Three new criteria for the polyhedrality of a Banach space are given in terms of norms, locally dependent on a finite number of coordinates, tilings of the space, and coverings of the sphere by a sequence of cuts.

Original languageEnglish
Pages (from-to)1145-1148
Number of pages4
JournalUkrainian Mathematical Journal
Volume42
Issue number9
DOIs
StatePublished - 1 Sep 1990
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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