Geodesic
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
Filomat, Tome 37 (2023) no. 19, p. 6355

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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 ∈ M n (C) are such that A B * B C ≥ 0, then w 2r (B) ≤ 1 2 4rα + A 4r(1−α) 4rα + C 4r(1−α) and w 2r (B) ≤ r α + (1 − α)C r 1−α , for 0 α 1, r ≥ 1. Moreover, we establish some numerical radius inequalities for products and sums of matrices.
DOI : 10.2298/FIL2319355B
Classification : 47A12, 47A30, 47A63
Keywords: Positive semidefinite matrix, Block matrix, Numerical radius, Operator norm 
Aliaa Burqan; Saeed Alkhalely; Cristian Conde. Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices. Filomat, Tome 37 (2023) no. 19, p. 6355 . doi: 10.2298/FIL2319355B
@article{10_2298_FIL2319355B,
     author = {Aliaa Burqan and Saeed Alkhalely and Cristian Conde},
     title = {Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices},
     journal = {Filomat},
     pages = {6355 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319355B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319355B/}
}
TY  - JOUR
AU  - Aliaa Burqan
AU  - Saeed Alkhalely
AU  - Cristian Conde
TI  - Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
JO  - Filomat
PY  - 2023
SP  - 6355 
VL  - 37
IS  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2319355B/
DO  - 10.2298/FIL2319355B
LA  - en
ID  - 10_2298_FIL2319355B
ER  - 
%0 Journal Article
%A Aliaa Burqan
%A Saeed Alkhalely
%A Cristian Conde
%T Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
%J Filomat
%D 2023
%P 6355 
%V 37
%N 19
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2319355B/
%R 10.2298/FIL2319355B
%G en
%F 10_2298_FIL2319355B

Cité par Sources :