Ranges of vector states on irreducible operator semigroups
dc.contributor.author | Marcoux, L.W. | |
dc.contributor.author | Omladič, M. | |
dc.contributor.author | Popov, A.I. | |
dc.contributor.author | Radjavi, H. | |
dc.contributor.author | Yahaghi, B. | |
dc.date.accessioned | 2020-04-01T21:24:43Z | |
dc.date.available | 2020-04-01T21:24:43Z | |
dc.date.issued | 2016 | |
dc.description | This 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/s00233-015-9772-7 | en |
dc.description.abstract | Let 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.sponsorship | Natural Sciences and Engineering Research Council | en |
dc.identifier.uri | https://doi.org/10.1007/s00233-015-9772-7 | |
dc.identifier.uri | http://hdl.handle.net/10012/15730 | |
dc.language.iso | en | en |
dc.publisher | Springer | en |
dc.subject | irreducible operator semigroups | en |
dc.subject | ranges of vector states | en |
dc.subject | semigroups of small rank | en |
dc.subject | compact groups of unitary matrices | en |
dc.subject | selfadjoint semigroups | en |
dc.title | Ranges of vector states on irreducible operator semigroups | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Marcoux, 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/s00233-015-9772-7 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Pure Mathematics | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |
uws.scholarLevel | Staff | en |
uws.typeOfResource | Text | en |
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