On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator

Sain, D and Mal, A and Bhunia, P and Paul, K (2021) On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator. In: Journal of Convex Analysis, 28 (1). pp. 67-80.

PDF Jou-Con-Ana-28-1-67-80.pdf - Published Version Restricted to Registered users only Download (185kB) | Request a copy

Abstract

We completely characterize the Crawford number attainment set and the numerical radius attainment set of a bounded linear operator on a Hilbert space. We study the intersection properties of the corresponding attainment sets of numerical radius, Crawford number, norm, minimum norm of a bounded linear operator defined on a normed space. Our study illustrates the similarities and the differences of the extremal properties of a bounded linear operator on a Hilbert space and a general normed space. © Heldermann Verlag

Item Type:	Journal Article
Publication:	Journal of Convex Analysis
Publisher:	Heldermann Verlag
Additional Information:	Copyright to this article belongs to Heldermann Verlag
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	05 Feb 2021 09:30
Last Modified:	05 Feb 2021 09:30
URI:	http://eprints.iisc.ac.in/id/eprint/67870

Actions (login required)

View Item