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The operator equation TS = 1 and representations of l1 of the bicyclic semigroup

Published online by Cambridge University Press:  14 February 2012

John B. Conway ,
Bernard B. Morrel  and
Joseph G. Stampfli
John B. Conway
Affiliation:
Department of Mathematics, Indiana University, Bloomington
Bernard B. Morrel
Affiliation:
Department of Mathematics, Indiana University, Bloomington
Joseph G. Stampfli
Affiliation:
Department of Mathematics, Indiana University, Bloomington
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Synopsis

The operator equation TS = 1 is studied for power bounded operators T, S on Hilbert space, and its relation to *—representations of the bicyclic semigroup is explored.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 1-2 , 1977 , pp. 131 - 136
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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