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The spectra of Fredholm operators in locally convex spaces

Published online by Cambridge University Press:  24 October 2008

P. A. Olagunju  and
T. T. West
P. A. Olagunju
Affiliation:
University of Ibadan and St John's College, Cambridge
T. T. West
Affiliation:
University of Ibadan and St John's College, Cambridge
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Extract

1. Notation and definitions. In this paper necessary and sufficient conditions are found for the spectrum of a Fredholm operator in a locally convex space (always taken to be Hausdorff) to lie on the non-negative real axis of the complex plane. Some results of Grothendieck(2) allow us to obtain the results in this general form; an interesting special case is the trace-class of operators in a general Banach space. We also deal with the case of Hilbert–Schmidt operators in a Hilbert space.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 801 - 806
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

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