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arXiv · 1408.2631

Pure Semigroups of Isometries on Hilbert C*-Modules

B. V. Rajarama Bhat·Michael Skeide
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Abstract

We show that pure strongly continuous semigroups of adjointable isometries on a Hilbert C*-module are standard right shifts. By counter examples, we illustrate that the analogy of this result with the classical result on Hilbert spaces by Sz.-Nagy, cannot be improved further to understand arbitrary isometry semigroups of isometries in the classical way.

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B. V. Rajarama Bhat, Michael Skeide. 2014-08-12. Pure Semigroups of Isometries on Hilbert C*-Modules. https://arxiv.org/abs/1408.2631

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