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

Sung Guen Kim

doi:10.5666/KMJ.2015.55.1.119

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

Sung Guen Kim

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

18 Scopus citations

Abstract

First we present the explicit formula for the norm of a (continuous) linear functional of L(²d*(1,w)²). Using this formula and results of [16] and [17], we show that every extreme bilinear form of the unit ball of L(²d*(1,w)²) is exposed.

Original language	English
Pages (from-to)	119-126
Number of pages	8
Journal	Kyungpook Mathematical Journal
Volume	55
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2015.55.1.119
State	Published - 2015

Keywords

Extreme and exposed bilinear forms
The 2-dimensional real pre-dual of the lorentz sequence space

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10.5666/KMJ.2015.55.1.119

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abstract = "First we present the explicit formula for the norm of a (continuous) linear functional of L(2d*(1,w)2). Using this formula and results of [16] and [17], we show that every extreme bilinear form of the unit ball of L(2d*(1,w)2) is exposed.",

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AB - First we present the explicit formula for the norm of a (continuous) linear functional of L(2d*(1,w)2). Using this formula and results of [16] and [17], we show that every extreme bilinear form of the unit ball of L(2d*(1,w)2) is exposed.

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

Abstract

Keywords

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