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On selfadjoint extensions of semigroups of partial isometries

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BMPR-20141019.pdf (531.1 KB)

Date

2016

Authors

Bernik, Janez
Marcoux, Laurent W.
Popov, Alexey I.
Radjavi, Heydar

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society

Abstract

Let S be a semigroup of partial isometries acting on a complex, infinite- dimensional, separable Hilbert space. In this paper we seek criteria which will guarantee that the selfadjoint semigroup T generated by S consists of partial isometries as well. Amongst other things, we show that this is the case when the set Q(S) of final projections of elements of S generates an abelian von Neumann algebra of uniform finite multiplicity.

Description

First published in Transactions of the American Mathematical Society in volume 368, 2016, published by the American Mathematical Society. https://doi.org/10.1090/tran/6619

Keywords

partial isometry, semigroup, self-adjoint, abelian von Neumann algebra, multiplicity

LC Keywords

Citation

URI

https://doi.org/10.1090/tran/6619
 http://hdl.handle.net/10012/15729

Collections

Waterloo Research
Pure Mathematics