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On selfadjoint extensions of semigroups of partial isometries
dc.contributor.author | Bernik, Janez | |
dc.contributor.author | Marcoux, Laurent W. | |
dc.contributor.author | Popov, Alexey I. | |
dc.contributor.author | Radjavi, Heydar | |
dc.date.accessioned | 2020-04-01 21:01:06 (GMT) | |
dc.date.available | 2020-04-01 21:01:06 (GMT) | |
dc.date.issued | 2016 | |
dc.identifier.uri | https://doi.org/10.1090/tran/6619 | |
dc.identifier.uri | http://hdl.handle.net/10012/15729 | |
dc.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 | en |
dc.description.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. | en |
dc.description.sponsorship | Research supported in part by ARRS (Slovenia). Research supported in part by NSERC (Canada). | en |
dc.language.iso | en | en |
dc.publisher | American Mathematical Society | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | partial isometry | en |
dc.subject | semigroup | en |
dc.subject | self-adjoint | en |
dc.subject | abelian von Neumann algebra | en |
dc.subject | multiplicity | en |
dc.title | On selfadjoint extensions of semigroups of partial isometries | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Trans. Amer. Math. Soc. 368 (2016), 7681-7702 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Pure Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |
uws.scholarLevel | Graduate | en |
uws.scholarLevel | Staff | en |