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

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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… Click to show full abstract

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).

Keywords: radius operator; hilbert schmidt; schmidt numerical; numerical radius

Journal Title: Filomat
Year Published: 2020

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