Geometric properties of operator spaces endowed with the numerical radius norm

Dey, S and Mal, A and Paul, K (2023) Geometric properties of operator spaces endowed with the numerical radius norm. In: Annals of Functional Analysis, 14 (1).

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Abstract

We characterize operators having equal operator norm and numerical radius norm. Then we explore a generalized notion of smoothness on L(X) w, the space of bounded linear operators on a real finite-dimensional Banach space X endowed with the numerical radius norm. Furthermore, we explore extreme contractions in L(X) w, whenever X is a finite-dimensional real polyhedral Banach space. Finally, we obtain the structure of the set of extreme points in the dual space of L(X) w, where X is a two-dimensional polygonal Banach space. © 2022, Tusi Mathematical Research Group (TMRG).

Item Type:	Journal Article
Publication:	Annals of Functional Analysis
Publisher:	Birkhauser
Additional Information:	The copyright of this article belongs to Birkhauser.
Keywords:	Banach space; Linear operator; Nr-extreme contraction; Nr-smoothness of order k; Numerical radius norm
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	27 Jan 2023 04:52
Last Modified:	27 Jan 2023 04:52
URI:	https://eprints.iisc.ac.in/id/eprint/80096

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