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Tensor Products and Singularly Continuous Spectrum

Published online by Cambridge University Press:  20 November 2018

Denis A. W. White*
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1W5
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Abstract

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An example of a bounded self adjoint operator A is constructed so that AI + α(IA) is purely singularly continuous but A⊗1 + β(IA) is purely absolutely continuous, for some real α and β. In fact α - β can be chosen arbitrarily small.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1984

References

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