TY - JOUR

T1 - Generalized Weyl's theorem and quasi-affiniy.

AU - Aiena, Pietro

PY - 2010

Y1 - 2010

N2 - A bounded operator T in L(X) acting on a Banach spaceX 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. In this paper we prove that generalizedWeyl's theorem holds for several classes of operators, extending previous results obtained in [24] and [15]. We also consider the preservation of generalized Weyl's theorem between two operators T in L(X), S in L(Y )in the case that these are intertwined by a quasi-affinity A in L(X; Y ), or in the more general case that T and S are asymptotically intertwined by A.

AB - A bounded operator T in L(X) acting on a Banach spaceX 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. In this paper we prove that generalizedWeyl's theorem holds for several classes of operators, extending previous results obtained in [24] and [15]. We also consider the preservation of generalized Weyl's theorem between two operators T in L(X), S in L(Y )in the case that these are intertwined by a quasi-affinity A in L(X; Y ), or in the more general case that T and S are asymptotically intertwined by A.

KW - Trasformazioni quasi affini e Teoremi di Weyl

KW - Trasformazioni quasi affini e Teoremi di Weyl

UR - http://hdl.handle.net/10447/64128

M3 - Article

SN - 0252-1938

VL - 198

SP - 105

EP - 120

JO - STUDIA UNIVERSITATIS BABES-BOLYAI. MATHEMATICA

JF - STUDIA UNIVERSITATIS BABES-BOLYAI. MATHEMATICA

ER -