Some inequalities involving Hilbert-Schmidt numerical radius on 2 x 2 operator matrices | Zendy

Monire Hajmohamadi | Zendy; Rahmatollah Lashkaripour | Zendy

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Some 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).

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