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Tensor Products and Singularly Continuous Spectrum

Published online by Cambridge University Press:  20 November 2018

Denis A. W. White
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 A⊗I + α(I⊗A) is purely singularly continuous but A⊗1 + β(I⊗A) is purely absolutely continuous, for some real α and β. In fact α - β can be chosen arbitrarily small.

Keywords

47A10

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984, pp. 481 - 484
Copyright
Copyright © Canadian Mathematical Society 1984

References

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