Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space
dc.contributor.author | Janda , Jirí | |
dc.date.accessioned | 2017-02-09T08:16:19Z | |
dc.date.available | 2017-02-09T08:16:19Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Acta Polytechnica. 2013, vol. 53, no. 3. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/67060 | |
dc.description.abstract | The notion of a generalized effect algebra is presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on a Hilbert space with the usual sum of operators. The structure of the set of not only positive linear operators can be described with the notion of a weakly ordered partial commutative group (wop-group).Due to the non-constructive algebraic nature of the wop-group we introduce its stronger version called a weakly ordered partial a-commutative group (woa-group). We show that it also describes the structure of not only positive linear operators. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1807 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | (generalized) effect algebra | en |
dc.subject | partial group | en |
dc.subject | weakly ordered partial group | en |
dc.subject | Hilbert space | en |
dc.subject | unbounded linear operator | en |
dc.subject | self-adjoint linear operator | en |
dc.title | Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space | |
dc.type | article | en |
dc.date.updated | 2017-02-09T08:16:19Z | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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