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Product shifts on $ B(H)$


Author: P. J. Stacey
Journal: Proc. Amer. Math. Soc. 113 (1991), 955-963
MSC: Primary 46L40; Secondary 46L55, 47A99
DOI: https://doi.org/10.1090/S0002-9939-1991-1057945-6
MathSciNet review: 1057945
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Abstract: A shift on $ B(H)$ is a $ *$-endomorphism $ \alpha $ for which $ { \cap _r}{\alpha ^r}(B(H)) = \mathbb{C}P$ for some projection $ P$. The paper discusses some aspects of the classification of shifts on $ B(H)$ up to conjugacy by $ *$-automorphisms, with a focus on the shifts arising from an infinite tensor product decomposition of $ H$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1057945-6
Keywords: Endomorphism, isometry, Hubert space, shift, infinite tensor product, unitary equivalence
Article copyright: © Copyright 1991 American Mathematical Society

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