2013
DOI: 10.14311/1807
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Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space

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 weak… Show more

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