Mathematical Theory and Modeling
ON EQUALITY OF SPECTRA AND ESSENTIAL SPECRA OF OPERATORS IN HILBERT SPACES
Abstract
It is a well known fact in operator theory that for any operator A, the essential spectrum of A is contained in the spectrum of A. The task of finding conditions under which the two are equal has been the subject matter in a number of several research papers. In this paper we show that quasisimilar pure dominant operators have their essential spectra equal to their spectra provided one of the intertwining quasiaffinities is compact.
AMS subject classification 47B47, 47A30, 47B20 key words and phrases: pure dominant and essential spectrum.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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