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Finitely spectral operators

Published online by Cambridge University Press:  18 May 2009

B. Nagy
B. Nagy
Affiliation:
University of Technology, Budapest, Hungary
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In the theory of spectral (and prespectral) operators in a Banach space or in a locally convex topological vector space the countable additivity (in some topology) of a resolution of the identity of the operator is a standing assumption. One might wonder why. Even if one cannot completely agree with the opinion of Diestel and Uhl ([6, p. 32]) stating that “countable additivity [of a set function] is often more of a hindrance than a help”, it might be interesting to study which portions of the theory of (pre)spectral operators and in which form extend to the more general situation described below.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 28 , Issue 1 , January 1986 , pp. 95 - 112
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986

References

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