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Spectral Properties for Invertible Measure Preserving Transformations

Published online by Cambridge University Press:  20 November 2018

Jean-Marc Belley
Jean-Marc Belley*
Affiliation:
Université de Montréal, Montréal, Québec
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An invertible measure preserving transformation T on the unit interval I generates a unitary operator U on the space L2(I) of Lebesque square integrable functions given by (Uf)(x) = f(Tx) for all f in L2(I) and x in I. By definition

for all f , g in L2(I), the bar denoting complex conjugation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 806 - 811
Copyright
Copyright © Canadian Mathematical Society 1973

References

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