Open AccessOn A-numerical radius inequalities for 2 x 2 operator matrices-II
Author(s) -
Satyajit Sahoo
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115237s
Subject(s) - mathematics , operator (biology) , radius , operator matrix , spectral radius , diagonal matrix , diagonal , bounded function , matrix (chemical analysis) , numerical range , bounded operator , pure mathematics , mathematical analysis , combinatorics , algebra over a field , eigenvalues and eigenvectors , geometry , quantum mechanics , biochemistry , chemistry , physics , computer security , repressor , materials science , computer science , transcription factor , composite material , gene
Rout et al. [Linear Multilinear Algebra 2020, DOI: 10.1080/03081087.2020.1810201] presented certain A-numerical radius inequalities for 2x2 operator matrices and further results on A-numerical radius of certain 2x2 operator matrices are obtained by Feki [Hacet. J. Math. Stat., 2020, DOI:10.15672/hujms.730574], very recently. The main goal of this article is to establish certain A-numerical radius equalities for operator matrices. Several new upper and lower bounds for the A-numerical radius of 2 x 2 operator matrices has been proved, where A be the 2 x 2 diagonal operator matrix whose diagonal entries are positive bounded operator A. Further, we prove some refinements of earlier A-numerical radius inequalities for operators.