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Displaying similar documents to “Generalizing normality for operators on Banach spaces: Hyponormality. I.”

Perturbation theorems for Hermitian elements in Banach algebras

Rajendra Bhatia, Driss Drissi (1999)

Studia Mathematica

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Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.

Hermitian operators on Lipschitz function spaces

Fernanda Botelho, James Jamison, A. Jiménez-Vargas, Moisés Villegas-Vallecillos (2013)

Studia Mathematica

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This paper characterizes the hermitian operators on spaces of Banach-valued Lipschitz functions.