GENERALIZED WEYL'S THEOREM FOR POSINORMAL OPERATORS

Let be a bounded linear operator acting on infinite dimensional separable Hubert space H. In this paper, we prove that the generalized Weyl's theorem holds for f(A) if A is conditionally totally posinormal or totally posinormal, where f is a function analytic in an open neighborhood of δ(A). Ot...

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Veröffentlicht in:	Mathematical proceedings of the Royal Irish Academy 2007-05, Vol.107A (1), p.81-89
1. Verfasser:	Mecheri, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Fredholm equations Integers Inverted spectra Linear transformations Mathematical functions Mathematical theorems Separable spaces Spectral index
Online-Zugang:	Volltext
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Zusammenfassung:	Let be a bounded linear operator acting on infinite dimensional separable Hubert space H. In this paper, we prove that the generalized Weyl's theorem holds for f(A) if A is conditionally totally posinormal or totally posinormal, where f is a function analytic in an open neighborhood of δ(A). Other related results are also given.
ISSN:	1393-7197 2009-0021 2009-0021
DOI:	10.1353/mpr.2007.0014