Extreme and exposed symmetric bilinear forms on the space ls (2 l2∞)

Kim Sung Guen

doi:10.15330/cmp.12.2.340-352

Extreme and exposed symmetric bilinear forms on the space l_s (² l²∞)

Kim Sung Guen

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

7 Scopus citations

Abstract

We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on l²∞. It is shown that for this case, the set of extreme points is equal to the set of exposed points.

Original language	English
Pages (from-to)	340-352
Number of pages	13
Journal	Carpathian Mathematical Publications
Volume	12
Issue number	2
DOIs	https://doi.org/10.15330/cmp.12.2.340-352
State	Published - 2020

Keywords

Exposed point
extreme point

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10.15330/cmp.12.2.340-352

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title = "Extreme and exposed symmetric bilinear forms on the space ls (2 l2∞)",

abstract = "We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on l2∞. It is shown that for this case, the set of extreme points is equal to the set of exposed points.",

keywords = "Exposed point, extreme point",

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year = "2020",

doi = "10.15330/cmp.12.2.340-352",

language = "English",

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AU - Guen, Kim Sung

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N2 - We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on l2∞. It is shown that for this case, the set of extreme points is equal to the set of exposed points.

AB - We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on l2∞. It is shown that for this case, the set of extreme points is equal to the set of exposed points.

KW - Exposed point

KW - extreme point

UR - https://www.scopus.com/pages/publications/85099028173

U2 - 10.15330/cmp.12.2.340-352

DO - 10.15330/cmp.12.2.340-352

M3 - Article

AN - SCOPUS:85099028173

SN - 2075-9827

VL - 12

SP - 340

EP - 352

JO - Carpathian Mathematical Publications

JF - Carpathian Mathematical Publications

IS - 2

ER -

Extreme and exposed symmetric bilinear forms on the space l_s (² l²∞)

Abstract

Keywords

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