We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space. In these cases the effect algebraic operation, as a total or partially defined binary operation, coincides with the usual addition of operators in Hilbert spaces
In this article we provide a complete description of all additive surjective unital maps in the alge...
In this paper, by considering the notions of effect algebra and product effect algebra, we define th...
Introduced by C.C. Chang in the 1950s, MV algebras are to many-valued (Łukasiewicz) logics what bool...
We study the set of all positive linear operators densely defined in an infinite-dimensional complex...
We show that (generalized) effect algebras may be suitable very simple and natural algebraic structu...
The notion of a generalized effect algebra is presented as a generalization of effect algebra for an...
We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]...
We prove that every bijective transformation on the set of Hilbert space effects which preserves a s...
We introduce some natural numerical quantities which measure different kinds of correspondences betw...
AbstractWe consider bijections of the Hilbert space effect algebra that preserve the algebraic struc...
AbstractIn this paper, we study the interval topology on effect algebras, and prove that effect alge...
Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dimH≥3, α,β two positive num...
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub...
We study measures defined on effect algebras. We characterize real-valued measures on effect algebra...
summary:We study unbounded versions of effect algebras. We show a necessary and sufficient condition...
In this article we provide a complete description of all additive surjective unital maps in the alge...
In this paper, by considering the notions of effect algebra and product effect algebra, we define th...
Introduced by C.C. Chang in the 1950s, MV algebras are to many-valued (Łukasiewicz) logics what bool...
We study the set of all positive linear operators densely defined in an infinite-dimensional complex...
We show that (generalized) effect algebras may be suitable very simple and natural algebraic structu...
The notion of a generalized effect algebra is presented as a generalization of effect algebra for an...
We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]...
We prove that every bijective transformation on the set of Hilbert space effects which preserves a s...
We introduce some natural numerical quantities which measure different kinds of correspondences betw...
AbstractWe consider bijections of the Hilbert space effect algebra that preserve the algebraic struc...
AbstractIn this paper, we study the interval topology on effect algebras, and prove that effect alge...
Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dimH≥3, α,β two positive num...
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub...
We study measures defined on effect algebras. We characterize real-valued measures on effect algebra...
summary:We study unbounded versions of effect algebras. We show a necessary and sufficient condition...
In this article we provide a complete description of all additive surjective unital maps in the alge...
In this paper, by considering the notions of effect algebra and product effect algebra, we define th...
Introduced by C.C. Chang in the 1950s, MV algebras are to many-valued (Łukasiewicz) logics what bool...