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ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
convergence in the generalized sense, spectral theory, LMC-algebra

Bibliography

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Studia Mathematica
1995/115/1
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Pages:
87-103
Main language of publication
English
Received
1994-04-02
Accepted
1995-02-10
Published
1995
Exact and natural sciences