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Strictly singular and cosingular operators

Published online by Cambridge University Press:  24 October 2008

Eric Martens
Eric Martens
Affiliation:
University of Stellenbosch, South Africa
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Abstract

The results given here are a natural continuation of those given by G. P. Shannon (4). The extension of various operators to the completions of the respective spaces are considered and the adjoint operator is more closely examined. A perturbation result for strictly cosingular operators is also given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 1 , January 1976 , pp. 111 - 115
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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(4)Shannon, G. P.Strictly singular and strictly cosingular operators on topological vector spaces. Proc. Roy. Irish Acad. 73A (1973), 303–8.Google Scholar
(5)Van Dulst, D.On strictly singular operators. Compositio Math. 23 (1971), 169–83.Google Scholar