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On a new norm on B(H) and its applications to numerical radius inequalities

Sain, D and Bhunia, P and Bhanja, A and Paul, K (2021) On a new norm on B(H) and its applications to numerical radius inequalities. In: Annals of Functional Analysis, 12 (4).

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Official URL: https://doi.org/10.1007/s43034-021-00138-5

Abstract

We introduce a new norm on the space of all bounded linear operators on a complex Hilbert space, which generalizes the numerical radius norm, the usual operator norm and the modified Davis�Wielandt radius norm. We study basic properties of this norm, including the upper and the lower bounds for it. As an application of the present study, we estimate bounds for the numerical radius of bounded linear operators. We illustrate that our results improve on some of the important existing numerical radius inequalities. Other application of this new norm have also studied. © 2021, Tusi Mathematical Research Group (TMRG).

Item Type: Journal Article
Publication: Annals of Functional Analysis
Publisher: Birkhauser
Additional Information: The copyright for this article belongs to Authors
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 21 Sep 2021 09:31
Last Modified: 21 Sep 2021 09:31
URI: http://eprints.iisc.ac.in/id/eprint/69763

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