Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices-Reference-Cited by-同舟云学术

Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices

Published:2023 Issue:19 Volume:37 Page:6355-6363
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Burqan Aliaa¹,Alkhalely Saeed²,Conde Cristian³

Affiliation:

1. Department of Mathematics, Zarqa University, Jordan

2. Department of Basic Sciences, Middle East University, Amman, Jordan

3. Instituto de Ciencias, Universidad Nacional de General Sarmiento and Consejo Nacional de Investigaciones Científicas y Tecnicas, Argentina

Abstract

In this paper, we introduce several numerical radius inequalities involving off-diagonal part of 2 ? 2 positive semidefinite block matrices and their diagonal blocks. It is shown that if A, B,C ? Mn(C) are such that [A B* B C] ? 0, then w2r(B) ? 1/2 ?||A4r? + A4r(1??)|| ||C4r? + C4r(1??)|| , and w2r(B) ? ||?A r/? + (1 ? ?)C r/1?? , for 0 < ? < 1, r ? 1. Moreover, we establish some numerical radius inequalities for products and sums of matrices.

Publisher

National Library of Serbia

Reference22 articles.

1. A. Abu-Omar, F. Kittaneh, A numerical radius inequality involving the generalized Aluthge transform, Studia Math. 216 (2013), 69-75.

2. J-C. Bourin, E-Y. Lee, M. Lin, On a decomposition lemma for positive semi-definite block-matrices, Linear Algebra Appl. 437 no. 7 (2012), 1906-1912.

3. P. Bhunia, K. Paul, Proper improvement of well-known numerical radius inequalities and their applications, Results Math. 76 no. 4 Paper 177 (2021), 12 pp.

4. P. Bhunia, K. Paul, Development of inequalities and characterization of equality conditions for the numerical radius, Linear Algebra Appl. 630 (2021), 306-315.

5. P. Bhunia, K. Paul, New upper bounds for the numerical radius of Hilbert space operators, Bull. Sci. Math. 167 Paper no. 102959(2021), 11 pp.

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