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.
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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 |
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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 |
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