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Compact semigroups in commutative Banach algebras

Published online by Cambridge University Press:  24 October 2008

M. A. Kaashoek  and
T. T. West
M. A. Kaashoek
Affiliation:
Free University, Amsterdam; Trinity College, Dublin
T. T. West
Affiliation:
Free University, Amsterdam; Trinity College, Dublin
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Extract

A monothetic semigroup is a topological semigroup with jointly continuous multiplication which contains a dense cyclic subsemigroup. These semi-groups arise in a natural way in the study of semi-algebras. In (4) we showed that a compact monothetic semigroup in a Banach algebra can be characterized in terms of the spectral properties of a generating element. In this paper these spectral theorems are linked with the well-known structure theory of compact semigroups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 265 - 274
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

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