INVESTIGADORES
CONDE cristian Marcelo
artículos
Título:
Some generaliztions of numerical radius inequalities including the off-diagonal parts of block matrices
Autor/es:
ALIAA BURQAN ; SAEED ALKHALELY; CRISTIAN CONDE
Revista:
FILOMAT
Editorial:
UNIV NIS
Referencias:
Año: 2023 vol. 37 p. 6355 - 6363
ISSN:
0354-5180
Resumen:
In this paper, we introduce several numerical radius inequalities involvingoff-diagonal part of $2imes 2$ positive semidefinite block matrices andtheir diagonal blocks. It is shown that if $A,B,Cin %TCIMACRO{TeXButton{M}{mathbb{M}}}%%BeginExpansionmathbb{M}%%EndExpansion_{n}(%%TCIMACRO{U{2102} }%%BeginExpansionmathbb{C}%EndExpansion)$ are such that $left[ egin{array}{cc}A & B^{ast } B & C%end{array}%ight] geq 0$, then egin{equation*}w^{2r}(B)leq rac{1}{2}sqrt{leftVert A^{4ralpha }+A^{4r(1-alpha)}ightVert leftVert C^{4ralpha }+C^{4r(1-alpha )}ightVert }end{equation*}and egin{equation*}w^{2r}(B)leq leftVert alpha A^{rac{r}{alpha }}+(1-alpha )C^{rac{r}{%1-alpha }}ightVert ,end{equation*}for $0
