Publication details
Weakly ordered a-commutative partial groups of linear operators densely defined on Hilbert space
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Acta Polytechnica |
| MU Faculty or unit | |
| Citation | |
| web | http://ctn.cvut.cz/ap/index.php?year=2013&idissue=86 |
| Field | General mathematics |
| Keywords | effect algebra;partial group;weakly ordered partial group;Hilbert space;unbounded linear operator;self-adjoint linear operator. |
| Description | The notion of a generalized effect algebra was 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 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 weakly ordered partial a-commutative group (woa-group). We show that it describes the structure of not only positive linear operators as well. |
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