A-Davis�Wielandt Radius Bounds of Semi-Hilbertian Space Operators

Guesba, M and Barik, S and Bhunia, P and Paul, K (2024) A-Davis�Wielandt Radius Bounds of Semi-Hilbertian Space Operators. In: Bulletin of the Iranian Mathematical Society, 50 (6).

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Abstract

Consider H is a complex Hilbert space and A is a positive operator on H. The mapping �·,·�A:H�H�C, defined as y,zA=Ay,z for all y, z�H, induces a seminorm ·A. The A-Davis�Wielandt radius of an operator S on H is defined as d�AS=supSz,zA2+SzA4:zA=1. We investigate some new bounds for d�AS which refine the existing bounds. We also give some bounds for the 2�2 off-diagonal block matrices. © The Author(s) under exclusive licence to Iranian Mathematical Society 2024.

Item Type:	Journal Article
Publication:	Bulletin of the Iranian Mathematical Society
Publisher:	Springer
Additional Information:	The copyright for this article belongs to the publishers.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Dec 2024 17:59
Last Modified:	04 Dec 2024 17:59
URI:	http://eprints.iisc.ac.in/id/eprint/86933

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