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On Shift Operators

Published online by Cambridge University Press:  20 November 2018

J. R. Holub
J. R. Holub*
Affiliation:
Department of Mathematics, Virginia Polytechnic Institute and State University BLacksburg, Virginia24061
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Abstract

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A definition of an isometric shift operator on a Banach space is given which extends the usual definition of a shift operator on a separable Hilbert space. It is shown that there is no such shift on many of the common Banach spaces of continuous functions. The associated ideas of a semi-shift and a backward shift are also introduced and studied in the case of continuous function spaces.

Keywords

47B3847A65
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 1 , 01 March 1988 , pp. 85 - 94
Copyright
Copyright © Canadian Mathematical Society 1988

References

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