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Some special operators and new classes of locally convex spaces

Published online by Cambridge University Press:  24 October 2008

Ajit Kaur Chilana
Ajit Kaur Chilana
Affiliation:
Newnham College, Cambridge and Hindu College, Delhi
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Abstract

We consider some special operators on a locally convex Hausdorff space to itself, which have neat spectral theories and prove some perturbation results. This leads us to define and study a few special classes of locally convex spaces in which various subsets of the algebra of continuous linear operators either coincide or are closely related with each other. These are then compared to the classes of barrelled, infrabarrelled and DF-spaces and examples are given to distinguish them from one another.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 475 - 489
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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