Polaroid type operators and compact perturbations

• Autorzy: Chun Guang Li , Ting Ting Zhou
• Języki publikacji: EN

Abstrakty

EN

A bounded linear operator T acting on a Hilbert space is said to be polaroid if each isolated point in the spectrum is a pole of the resolvent of T. There are several generalizations of the polaroid property. We investigate compact perturbations of polaroid type operators. We prove that, given an operator T and ε > 0, there exists a compact operator K with ||K|| < ε such that T + K is polaroid. Moreover, we characterize those operators for which a certain polaroid type property is stable under (small) compact perturbations.

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47A55: Perturbation theory
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 221
• Numer: 2
• Strony: 175-192

Daty

wydano

2014

Twórcy

autor

Chun Guang Li

• School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China

autor

Ting Ting Zhou

• Institute of Mathematics, Jilin University, Changchun 130012, P.R. China

Identyfikatory

DOI

10.4064/sm221-2-5