Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras

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

Abstrakty

EN

The notion of convergence in the generalized sense of a sequence of closed operators is generalized to the situation where the closed operators involved are affiliated with a Banach algebra of operators. Also, the concept of convergence in the generalized sense is extended to the context of a LMC-algebra, where it applies to the spectral theory of the algebra.

Słowa kluczowe

EN

convergence in the generalized sense; spectral theory; LMC-algebra

Kategorie tematyczne

• 46H05: General theory of topological algebras
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 115
• Numer: 1
• Strony: 87-103

Daty

wydano

1995

otrzymano

1994-04-02

poprawiono

1995-02-10

Twórcy

autor

Bruce A. Barnes

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

Bibliografia

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