Operator models for hilbert locally c*-modules
dc.citation.epage | 667 | en_US |
dc.citation.issueNumber | 3 | en_US |
dc.citation.spage | 639 | en_US |
dc.citation.volumeNumber | 11 | en_US |
dc.contributor.author | Gheondea, A. | en_US |
dc.date.accessioned | 2018-04-12T10:59:18Z | |
dc.date.available | 2018-04-12T10:59:18Z | |
dc.date.issued | 2017 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | We single out the concept of concrete Hilbert module over a locally C*-algebra by means of locally bounded operators on certain strictly inductive limits of Hilbert spaces. Using this concept, we construct an operator model for all Hilbert locally C*-modules and, as an application, we obtain a direct construction of the exterior tensor product of Hilbert locally C*-modules. These are obtained as consequences of a general dilation theorem for positive semidefinite kernels invariant under an action of a ∗-semigroup with values locally bounded operators. As a by-product, we obtain two Stinespring type theorems for completely positive maps on locally C*-algebras and with values locally bounded operators. © 2017, Element D.O.O. All rights reserved. | en_US |
dc.identifier.doi | 10.7153/oam-11-43 | en_US |
dc.identifier.issn | 1846-3886 | |
dc.identifier.uri | http://hdl.handle.net/11693/36991 | |
dc.language.iso | English | en_US |
dc.publisher | Element D.O.O. | en_US |
dc.relation.isversionof | http://dx.doi.org/10.7153/oam-11-43 | en_US |
dc.source.title | Operators and matrices | en_US |
dc.subject | Projective limit | en_US |
dc.subject | Primary 47A20 | en_US |
dc.subject | Secondary 46L89 | en_US |
dc.subject | 46E22 | en_US |
dc.subject | 43A35 | en_US |
dc.subject | Locally Hilbert space | en_US |
dc.subject | inductive limit | en_US |
dc.subject | Locally C*-algebra | en_US |
dc.subject | Hilbert locally C*-module | en_US |
dc.subject | Positive semidefinite kernel | en_US |
dc.subject | *-semigroup | en_US |
dc.subject | invariant kernel | en_US |
dc.subject | completely positive map | en_US |
dc.subject | Reproducing kernel | en_US |
dc.title | Operator models for hilbert locally c*-modules | en_US |
dc.type | Article | en_US |
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