Some results on infinite-dimensional convexity

Vladimir P. Fonf; Joram Lindenstrauss

doi:10.1007/BF02783039

Some results on infinite-dimensional convexity

Vladimir P. Fonf, Joram Lindenstrauss

Department of Mathematics

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

15 Scopus citations

Abstract

The paper treats several topics in infinite-dimensional convexity. (1) Tiling and proximinal sets in Banach spaces. (2) Structure of infinite-dimensional polytopes. (3) Approximating convex sets by such sets which have a dense set of extreme points.

Original language	English
Pages (from-to)	13-32
Number of pages	20
Journal	Israel Journal of Mathematics
Volume	108
DOIs	https://doi.org/10.1007/BF02783039
State	Published - 1 Jan 1998

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/BF02783039

Cite this

@article{bcf0b2bb48d3423d9ac3f0b8846e6eda,

title = "Some results on infinite-dimensional convexity",

abstract = "The paper treats several topics in infinite-dimensional convexity. (1) Tiling and proximinal sets in Banach spaces. (2) Structure of infinite-dimensional polytopes. (3) Approximating convex sets by such sets which have a dense set of extreme points.",

author = "Fonf, {Vladimir P.} and Joram Lindenstrauss",

year = "1998",

month = jan,

day = "1",

doi = "10.1007/BF02783039",

language = "English",

volume = "108",

pages = "13--32",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Some results on infinite-dimensional convexity

AU - Fonf, Vladimir P.

AU - Lindenstrauss, Joram

PY - 1998/1/1

Y1 - 1998/1/1

N2 - The paper treats several topics in infinite-dimensional convexity. (1) Tiling and proximinal sets in Banach spaces. (2) Structure of infinite-dimensional polytopes. (3) Approximating convex sets by such sets which have a dense set of extreme points.

AB - The paper treats several topics in infinite-dimensional convexity. (1) Tiling and proximinal sets in Banach spaces. (2) Structure of infinite-dimensional polytopes. (3) Approximating convex sets by such sets which have a dense set of extreme points.

UR - http://www.scopus.com/inward/record.url?scp=0006899347&partnerID=8YFLogxK

U2 - 10.1007/BF02783039

DO - 10.1007/BF02783039

M3 - Article

AN - SCOPUS:0006899347

SN - 0021-2172

VL - 108

SP - 13

EP - 32

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Some results on infinite-dimensional convexity

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this