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.
Full text not available from this repository.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: | This copyright for this article belongs to Heldermann Verlag |
| Keywords: | Bounded linear operator; Crawford number; Norm attainment set; Numerical radius Bounded linear operator; Crawford number; Norm attainment set; Numerical radius Bounded linear operator; Crawford number; Norm attainment set; Numerical radius Bounded linear operator; Crawford number; Norm attainment set; Numerical radius Bounded linear operator; Crawford number; Norm attainment set; Numerical radius |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 30 Dec 2021 05:10 |
| Last Modified: | 30 Dec 2021 05:10 |
| URI: | http://eprints.iisc.ac.in/id/eprint/67960 |
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