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 |
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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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