Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
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Faculty of Sciences and Mathematics. Department of Mathematics
2026
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| Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721 |
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I71-R177-UNGS-27212026-01-15T10:11:09Z Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices Burqan, Aliaa Conde, Cristian Marcelo Alkhalely, Saeed Positive semidefinite matrix Block matrix Numerical radius Operator norm Matemáticas Revista con referato Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Burqan, Aliaa. Zarqa University. Department of Mathematics; Jordan. Fil: Alkhalely, Saeed. Middle East University. Department of Basic Sciences; Jordan. 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 √||A4rα + A4r(1−α)|| ||C4rα + C4r(1−α)|| , and w2r(B) ≤ ||αA 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. 2026-01-15T10:08:02Z 2026-01-15T10:08:02Z 2023 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Conde, C. M., Burqan, A. y Alkhalely, S. (2023). Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices. Filomat, 37(19), 6355-6363. 0354-5180 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721 eng https://doi.org/10.2298/FIL2319355B info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Faculty of Sciences and Mathematics. Department of Mathematics Filomat. 2023; 37(19): 6355-6363 |
| institution |
Universidad Nacional de General Sarmiento |
| institution_str |
I-71 |
| repository_str |
R-177 |
| collection |
Repositorio Institucional Digital de Acceso Abierto (UNGS) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Positive semidefinite matrix Block matrix Numerical radius Operator norm Matemáticas |
| spellingShingle |
Positive semidefinite matrix Block matrix Numerical radius Operator norm Matemáticas Burqan, Aliaa Conde, Cristian Marcelo Alkhalely, Saeed Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| topic_facet |
Positive semidefinite matrix Block matrix Numerical radius Operator norm Matemáticas |
| description |
Revista con referato |
| format |
Artículo Artículo publishedVersion |
| author |
Burqan, Aliaa Conde, Cristian Marcelo Alkhalely, Saeed |
| author_facet |
Burqan, Aliaa Conde, Cristian Marcelo Alkhalely, Saeed |
| author_sort |
Burqan, Aliaa |
| title |
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| title_short |
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| title_full |
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| title_fullStr |
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| title_full_unstemmed |
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| title_sort |
some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices |
| publisher |
Faculty of Sciences and Mathematics. Department of Mathematics |
| publishDate |
2026 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2721 |
| work_keys_str_mv |
AT burqanaliaa somegeneraliztionsofnumericalradiusinequalitiesincludingtheoffdiagonalpartsofblockmatrices AT condecristianmarcelo somegeneraliztionsofnumericalradiusinequalitiesincludingtheoffdiagonalpartsofblockmatrices AT alkhalelysaeed somegeneraliztionsofnumericalradiusinequalitiesincludingtheoffdiagonalpartsofblockmatrices |
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1858615786616127488 |