Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

Ranges of vector states on irreducible operator semigroups

Lookup NU author(s): Dr Alexey Popov

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

Let be a linear functional of rank one acting on an irreducible semigroup of operators on a finite- or infinite-dimensional Hilbert space. It is a well-known and simple fact that the range of 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 with a two-element range yields valuable information on the structure of .

Publication metadata

Author(s): Marcoux LW, Omladic M, Popov AI, Radjavi H, Yahaghi BR

Publication type: Article

Publication status: Published

Journal: Semigroup Forum

Year: 2016

Volume: 93

Issue: 2

Pages: 264-304

Print publication date: 01/10/2016

Online publication date: 07/01/2016

Acceptance date: 09/12/2015

ISSN (print): 0037-1912

ISSN (electronic): 1432-2137

Publisher: Springer

URL: http://dx.doi.org/10.1007/s00233-015-9772-7

DOI: 10.1007/s00233-015-9772-7

Altmetrics

Altmetrics provided by Altmetric

Share