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Autors principals: Bhunia, P., Bhanja, A., Sain, D., Paul, K.
Format: Preprint
Publicat: 2020
Matèries:
Accés en línia:https://arxiv.org/abs/2008.13708
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author Bhunia, P.
Bhanja, A.
Sain, D.
Paul, K.
author_facet Bhunia, P.
Bhanja, A.
Sain, D.
Paul, K.
contents This paper is a continuation of a recent work on a new norm, christened the $ (α, β)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones.
format Preprint
id arxiv_https___arxiv_org_abs_2008_13708
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$
Bhunia, P.
Bhanja, A.
Sain, D.
Paul, K.
Functional Analysis
47A30, 47A12
This paper is a continuation of a recent work on a new norm, christened the $ (α, β)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones.
title Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$
topic Functional Analysis
47A30, 47A12
url https://arxiv.org/abs/2008.13708