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Fractional powers of a closed pair of operators

Published online by Cambridge University Press:  14 November 2011

Marié Grobbelaar-Van Dalsen
Marié Grobbelaar-Van Dalsen
Affiliation:
University of South Africa, P.O. Box 392, Pretoria, 0001 South Africa
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Synopsis

In this paper we introduce the concept of fractional powers of a pair of operators between two Banach spaces. The operators need not be closed, but form a closed pair. The properties of the fractional powers are studied. An application of the theory is briefly discussed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 149 - 158
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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