The spectral mapping theorems for Browder spectrum and for semi-Browder spectra have been proved by several authors [14], [29] and [33], by using different methods. We shall employ a local spectral argument to establish these spectral mapping theorems, as well as, the spectral mapping theorem relative to some other classical spectra. We also prove that ifT orT* has the single-valued extension property some of the more important spectra originating from Fredholm theory coincide. This result is extended, always in the caseT orT* has the single valued extension property, tof(T), wheref is an analytic function defined on an open disc containing the spectrum ofT. In the last part we improve a recent result of Curto and Han [10] by proving that for every transaloid operatorT a-Weyl’s theorem holds forf(T) andf(T)*.

AIENA P, BIONDI M T (2004). Some spectral mapping theorems trough local spectral theory. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 53(2), 165-184 [10.1007/BF02872869].

Some spectral mapping theorems trough local spectral theory

AIENA, Pietro;
2004-01-01

Abstract

The spectral mapping theorems for Browder spectrum and for semi-Browder spectra have been proved by several authors [14], [29] and [33], by using different methods. We shall employ a local spectral argument to establish these spectral mapping theorems, as well as, the spectral mapping theorem relative to some other classical spectra. We also prove that ifT orT* has the single-valued extension property some of the more important spectra originating from Fredholm theory coincide. This result is extended, always in the caseT orT* has the single valued extension property, tof(T), wheref is an analytic function defined on an open disc containing the spectrum ofT. In the last part we improve a recent result of Curto and Han [10] by proving that for every transaloid operatorT a-Weyl’s theorem holds forf(T) andf(T)*.
2004
AIENA P, BIONDI M T (2004). Some spectral mapping theorems trough local spectral theory. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 53(2), 165-184 [10.1007/BF02872869].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/6660
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