Closed operators affiliated with 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. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.

Słowa kluczowe

EN

closed operator; spectrum; Fredholm operator; semigroup of operators; Banach algebra

Kategorie tematyczne

• 46H99: None of the above, but in this section
• 47A53: (Semi-) Fredholm operators; index theories
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991-1992
• Tom: 101
• Numer: 3
• Strony: 215-240

Daty

wydano

1992

otrzymano

1991-08-08

Twórcy

autor

Barnes Bruce A.

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

Bibliografia

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