2010•Journal of Shandong UniversityRequires access

On the perturbation of the Kato essential spectra for upper triangular operator matrices

Xiaohong Cao

Abstract

Let σek(T)=σe(T)∪σk(T) be the Kato essential spectra for bounded linear operator T,where σe(T) and σk(T) denote the Kato spectrum and essential spectrum for T respectively.The perturbations of the Kato essential for an upper triangular operator matrices such as MC=[AC0B] acting on a Hilbert space H⊙K are studied.

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Key concepts: Essential spectrum, Triangular matrix, Mathematics, Bounded operator, Operator matrix, Hilbert space, Bounded function, Perturbation (astronomy)