Extreme points in polyhedral Banach spaces

Carlo Alberto De Bernardi

doi:10.1007/s11856-017-1539-2

Extreme points in polyhedral Banach spaces

Carlo Alberto De Bernardi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We show that there exists a polyhedral Banach space X such that the closed unit ball of X is the closed convex hull of its extreme points. This solves a problem posed by J. Lindenstrauss in 1966.

Original language	English
Pages (from-to)	547-557
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	220
Issue number	2
DOIs	https://doi.org/10.1007/s11856-017-1539-2
Publication status	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

extreme point
polyhedral banach space

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10.1007/s11856-017-1539-2

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abstract = "We show that there exists a polyhedral Banach space X such that the closed unit ball of X is the closed convex hull of its extreme points. This solves a problem posed by J. Lindenstrauss in 1966.",

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JO - Israel Journal of Mathematics

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ER -

Extreme points in polyhedral Banach spaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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