Generalized Weyl's theorem and quasi-affinity

作者：Aiena Pietro^*; Berkani Mohammed

来源：Studia Mathematica, 2010, 198(2): 105-120.

DOI：10.4064/sm198-2-1

• localized SVEP
• B-Fredholm theory
• Weyl's theorems
• quasi-affinity
• commutator

A bounded operator T is an element of L(X) acting on a Banach space X is said to satisfy generalized Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all eigenvalues which are isolated points of the spectrum. We prove that generalized Weyl's theorem holds for several classes of operators, extending previous results of Istratescu and Curto-Han. We also consider the preservation of generalized Weyl's theorem between two operators T is an element of L(X), S is an element of L(Y) intertwined or asymptotically intertwined by a quasi-affinity A is an element of L(X, Y).

• 出版日期2010