On A-numerical radius inequalities for 2 x 2 operator matrices-II | Zendy

Satyajit Sahoo | Zendy

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On 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.

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