Perturbation theory relative to a Banach algebra of operators

• Autorzy: Barnes Bruce A.
• Języki publikacji: EN

Abstrakty

EN

Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. Let S be a closed linear operator in X, and let R be a linear operator in X. In this paper the spectral and Fredholm theory relative to ℬ of the perturbed operator S + R is developed. In particular, the situation where R is S-inessential relative to ℬ is studied. Several examples are given to illustrate the usefulness of these concepts.

Słowa kluczowe

EN

Banach algebra of operators; Fredholm operator; perturbation theory; essential spectrum

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: 1993
• Tom: 106
• Numer: 2
• Strony: 153-174

Daty

wydano

1993

otrzymano

1992-06-02

poprawiono

1993-03-16

Twórcy

autor

Barnes Bruce A.

• Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.

Bibliografia

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