Bhunia, P and Sain, D and Paul, K (2021) On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of a normed linear space. In: Collectanea Mathematica .
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Abstract
We study the Davis-Wielandt shell and the Davis-Wielandt radius of an operator on a normed linear space X. We show that after a suitable modification, the modified Davis-Wielandt radius defines a norm on L(X) which is equivalent to the usual operator norm on L(X). We introduce the Davis-Wielandt index of a normed linear space and compute its value explicitly in case of some particular polyhedral Banach spaces. We also present a general method to estimate the Davis-Wielandt index of any polyhedral finite-dimensional Banach space. © 2021, Universitat de Barcelona.
| Item Type: | Journal Article |
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| Publication: | Collectanea Mathematica |
| Publisher: | Springer-Verlag Italia s.r.l. |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 03 Dec 2021 06:51 |
| Last Modified: | 03 Dec 2021 06:51 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70105 |
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