Abstract The aim of this article is to prove several new numerical radius inequalities for n × n operator matrices on a Hilbert space. Let be complex Hilbert spaces, and let be… Click to show full abstract
Abstract The aim of this article is to prove several new numerical radius inequalities for n × n operator matrices on a Hilbert space. Let be complex Hilbert spaces, and let be an n × n operator matrix with . Among other inequalities, it shown thatwhere and denote the numerical radius and the usual operator norm, respectively.
               
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