The spectral mapping theorems for Browder spectrum and for semi-Browder spectra have been proved by several authors ,  and , 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  by proving that for every transaloid operatorT a-Weyl’s theorem holds forf(T) andf(T)*.
|Numero di pagine||20|
|Rivista||Rendiconti del Circolo Matematico di Palermo|
|Stato di pubblicazione||Published - 2004|
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