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Polaroid type operators and compact perturbations

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Li C., Zhou T.

Studia Mathematica

2014

tom 221

nr 2

175-192

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.

Ograniczanie wyników

1 Studia Mathematica

1 Li C.

1 Zhou T.

1 2014

Wyniki wyszukiwania

Polaroid type operators and compact perturbations