Geodesic
Tensor Products and Singularly Continuous Spectrum
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 481-484

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DOI

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.
DOI : 10.4153/CMB-1984-076-6
Mots-clés : 47A10 
White, Denis A. W. Tensor Products and Singularly Continuous Spectrum. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 481-484. doi: 10.4153/CMB-1984-076-6
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     title = {Tensor {Products} and {Singularly} {Continuous} {Spectrum}},
     journal = {Canadian mathematical bulletin},
     pages = {481--484},
     year = {1984},
     volume = {27},
     number = {4},
     doi = {10.4153/CMB-1984-076-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-076-6/}
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