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A-Numerical Radius of Semi-Hilbert Space Operators

Guesba, M and Bhunia, P and Paul, K (2024) A-Numerical Radius of Semi-Hilbert Space Operators. In: Journal of Convex Analysis, 31 (1). pp. 227-242.

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Abstract

Let A =(A00A) be a 2 � 2 diagonal operator matrix whose each diagonal entry is a positive bounded linear operator A acting on a complex Hilbert space H. Let T, S and R be bounded linear operators on H admitting A-adjoints, where T and R are A-positive. By considering an A-positive 2�2 operator matrix (TSS#AR), we develop several upper bounds for the A-numerical radius of S. Applying these upper bounds we obtain new A-numerical radius bounds for the product and the sum of arbitrary operators which admit A-adjoints. Related other inequalities are also derived. © Heldermann Verlag.

Item Type: Journal Article
Publication: Journal of Convex Analysis
Publisher: Heldermann Verlag
Additional Information: The copyright for this article belongs to Heldermann Verlag.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 14 May 2024 10:25
Last Modified: 14 May 2024 10:25
URI: https://eprints.iisc.ac.in/id/eprint/84433

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