Polaroid type operators under perturbations

• Autorzy: Pietro Aiena , Elvis Aponte
• Języki publikacji: EN

Abstrakty

EN

A bounded operator T defined on a Banach space is said to be polaroid if every isolated point of the spectrum is a pole of the resolvent. The "polaroid" condition is related to the conditions of being left polaroid, right polaroid, or a-polaroid. In this paper we explore all these conditions under commuting perturbations K. As a consequence, we give a general framework from which we obtain, and also extend, recent results concerning Weyl type theorems (generalized or not) for T + K, where K is an algebraic or a quasi-nilpotent operator commuting with T.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47A11: Local spectral properties
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 214
• Numer: 2
• Strony: 121-136

Daty

wydano

2013

Twórcy

autor

Pietro Aiena

• Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università degli Studi di Palermo, I-90128 Palermo, Italy

autor

Elvis Aponte

• Departamento de Matemáticas, Facultad de Ciencias UCLA, Barquisimeto, Venezuela

Identyfikatory

DOI

10.4064/sm214-2-2