Perturbations of operators satisfying a local growth condition.
Polaroid type operators under perturbations
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...
Properties and applications of the local functional calculus.
Propriétés spectrales des restrictions d’opérateurs de la classe