Another characterization of the norming set of $T\in {\mathcal L}(^2l_{\infty}^2)$

Sung Guen Kim

doi:10.4134/CKMS.c210386

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(4): 1131-1146

Online first article May 13, 2022 Printed October 31, 2022

https://doi.org/10.4134/CKMS.c210386

Another characterization of the norming set of $T\in {\mathcal L}(^2l_{\infty}^2)$

Sung Guen Kim

Kyungpook National University

Abstract

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Abstract

In this paper we present another characterization of the \linebreak norming set of $T\in {\mathcal L}(^2l_{\infty}^2)$ in terms of $\qopname\relax o{Norm}(T)\cap \Omega$ whose proofs are more systematic than those of Kim \cite{K1}, where $\Omega=\big\{\big((1, 1), (1, 1)\big)$, $\big((1, 1), (1, -1)\big)$, $\big((1, -1), (1, 1)\big)$, $\big((1, -1), (1, -1)\big)\big\}$.

Keywords: Norming points, bilinear forms

MSC numbers: Primary 46A22