Norm attaining multilinear forms on the spaces c0 or l1

Sung Guen Kim

doi:10.33205/CMA.981877

Norm attaining multilinear forms on the spaces c₀ or l₁

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

Abstract

T ∈ L(ⁿE) is called a norming attaining if there are x1,..., xn ∈ E such that kx1k = ··· = kxnk = 1 and |T(x1,..., xn)| = kTk, where L(ⁿE) denotes the space of all continuous n-linear forms on E.

Original language	English
Pages (from-to)	1-6
Number of pages	6
Journal	Constructive Mathematical Analysis
Volume	5
Issue number	1
DOIs	https://doi.org/10.33205/CMA.981877
State	Published - 2022

Keywords

Norming attaining multilinear forms
Norming points
Norming sets

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10.33205/CMA.981877

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AB - T ∈ L(nE) is called a norming attaining if there are x1,..., xn ∈ E such that kx1k = ··· = kxnk = 1 and |T(x1,..., xn)| = kTk, where L(nE) denotes the space of all continuous n-linear forms on E.

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KW - Norming sets

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Norm attaining multilinear forms on the spaces c₀ or l₁

Abstract

Keywords

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