Some class of numerical radius peak $n$-linear mappings on $l_p$-spaces

For $n\geq 2$ and a real Banach space $E,$ ${\mathcal L}(^n E:E)$ denotes the space of all continuous $n$-linear mappings from $E$ to itself. Let $$\Pi(E)=\Big\{[x^*, (x_1, \ldots, x_n)]: x^{*}(x_j)=\|x^{*}\|=\|x_j\|=1~\mbox{for}~{j=1, \ldots, n}\Big\}.$$ For $T\in {\mathcal L}(^n E:E),$ we define $...

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Bibliographic Details
Main Author: S. G. Kim
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2022-03-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/270
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