2015•International Journal of MathematicsRequires access

Generalized spectral radius and norm inequalities for Hilbert space operators

Amer Abu-Omar, Fuad Kıttaneh

Abstract

We apply spectral radius and norm inequalities to certain [Formula: see text] operator matrices to give simple proofs, refinements and generalizations of known norm inequalities. New norm inequalities are also given. Our analysis uncovers the interplay between different spectral radius and norm inequalities.

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Key concepts: Mathematics, Operator norm, Norm (philosophy), Hilbert space, Spectral radius, Inequality, Mathematical proof, Matrix norm