Extreme bilinear forms of L(2d*(1,w)2)

Sung Guen Kim

doi:10.5666/KMJ.2013.53.4.625

Extreme bilinear forms of L(²d_*(1,w)²)

Sung Guen Kim

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

24 Scopus citations

Abstract

First we present the explicit formula for the norm of a bilinear form on the 2-dimensional real predual of the Lorentz sequence space d_*(1,w)². Using this formula, we classify the extreme points of the unit ball of L(²d_*(1,w)²).

Original language	English
Pages (from-to)	625-638
Number of pages	14
Journal	Kyungpook Mathematical Journal
Volume	53
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2013.53.4.625
State	Published - Dec 2013

Keywords

Extreme bilinear forms
The 2-dimensional real predual of the Lorentz sequence space

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10.5666/KMJ.2013.53.4.625

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title = "Extreme bilinear forms of L(2d*(1,w)2)",

abstract = "First we present the explicit formula for the norm of a bilinear form on the 2-dimensional real predual of the Lorentz sequence space d*(1,w)2. Using this formula, we classify the extreme points of the unit ball of L(2d*(1,w)2).",

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author = "Kim, {Sung Guen}",

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AB - First we present the explicit formula for the norm of a bilinear form on the 2-dimensional real predual of the Lorentz sequence space d*(1,w)2. Using this formula, we classify the extreme points of the unit ball of L(2d*(1,w)2).

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JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

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Extreme bilinear forms of L(²d_*(1,w)²)

Abstract

Keywords

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