Open AccessSome inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices
Author(s) -
Monire Hajmohamadi,
Rahmatollah Lashkaripour
Publication year - 2020
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/fil2014649h
Subject(s) - mathematics , operator (biology) , operator matrix , spectral radius , radius , hilbert space , pure mathematics , mathematical analysis , combinatorics , eigenvalues and eigenvectors , quantum mechanics , biochemistry , chemistry , physics , computer security , repressor , computer science , transcription factor , gene
We present some inequalities related to the Hilbert-Schmidt numerical radius of 2 x 2 operator matrices. More precisely, we present a formula for the Hilbert-Schmidt numerical radius of an operator as follows: w2(T) = sup ?2+?2=1 ||?A + ?B||2, where T = A + iB is the Cartesian decomposition of T ? HS(H).