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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Commuting unilateral shifts


Author: James A. Deddens
Journal: Proc. Amer. Math. Soc. 25 (1970), 96-99
MSC: Primary 47.10
DOI: https://doi.org/10.1090/S0002-9939-1970-0265958-3
MathSciNet review: 0265958
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Abstract: Examples are given to show that two commuting unilateral shifts (of dimension $\infty ,\infty$ or $m,n$ with $2 \leqq m,\;n < \infty$) need not commute with a unilateral shift of multiplicity one.


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Keywords: Inner functions, Blaschke products, backward translation, isometry
Article copyright: © Copyright 1970 American Mathematical Society