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Unilateral quasi-regularizers of closed operators

Published online by Cambridge University Press:  24 October 2008

R. W. Cross
R. W. Cross
Affiliation:
University of Cape Town
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Extract

Let X and Y be normed spaces and let L(X, Y) denote the set of linear transformations from X into Y, with domain D(T) and range R(T). For a given T ∈ L(X, Y) we investigate the existence and properties of a closed densely defined operator S ∈ L(Y, X) such that ST − I/D(T) (or TS − I/D(S)) is a bounded operator of finite dimensional range. These results were previously announced without proof in (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 3 , May 1980 , pp. 471 - 480
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

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