Norm attaining multilinear forms on the spaces $c_0$ or $l_1$

Year 2022, Volume: 5 Issue: 1, 1 - 6, 14.03.2022

Sung Guen Kim

https://doi.org/10.33205/cma.981877

Abstract

$T\in L{(}^{n}E)$ is called a norming attaining if there are $x_1,\dots ,x_n\in E$ such that $\parallel x_1\parallel =\cdots =\parallel x_n\parallel =1$ and $\mathrm{|T}(x_1,\dots ,x_n)|=\parallel T\parallel ,$ where $L{(}^{n}E)$ denotes the space of all continuous $n$-linear forms on $E.$ We investigate norm attaining multilinear forms on $c_0$ or $l_1.$

Keywords

norming attaining multilinear forms, norming points, norming sets

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