Ranges of vector states on irreducible operator semigroups

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dc.contributor.authorMarcoux, L.W.
dc.contributor.authorOmladič, M.
dc.contributor.authorPopov, A.I.
dc.contributor.authorRadjavi, H.
dc.contributor.authorYahaghi, B.
dc.date.accessioned2020-04-01T21:24:43Z
dc.date.available2020-04-01T21:24:43Z
dc.date.issued2016
dc.descriptionThis is a post-peer-review, pre-copyedit version of an article published in Semigroup Forum. The final authenticated version is available online at: https://doi.org/10.1007/s00233-015-9772-7en
dc.description.abstractLet 𝜑 be a linear functional of rank one acting on an irreducible semigroup S of operators on a finite- or infinite-dimensional Hilbert space. It is a well-known and simple fact that the range of 𝜑 cannot be a singleton. We start a study of possible finite ranges for such functionals. In particular, we prove that in certain cases, the existence of a single such functional 𝜑 with a two-element range yields valuable information on the structure of S.en
dc.description.sponsorshipNatural Sciences and Engineering Research Councilen
dc.identifier.urihttps://doi.org/10.1007/s00233-015-9772-7
dc.identifier.urihttp://hdl.handle.net/10012/15730
dc.language.isoenen
dc.publisherSpringeren
dc.subjectirreducible operator semigroupsen
dc.subjectranges of vector statesen
dc.subjectsemigroups of small ranken
dc.subjectcompact groups of unitary matricesen
dc.subjectselfadjoint semigroupsen
dc.titleRanges of vector states on irreducible operator semigroupsen
dc.typeArticleen
dcterms.bibliographicCitationMarcoux, L.W., Omladič, M., Popov, A.I. et al. Ranges of vector states on irreducible operator semigroups. Semigroup Forum 93, 264–304 (2016). https://doi.org/10.1007/s00233-015-9772-7en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.scholarLevelStaffen
uws.typeOfResourceTexten

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