Results 1 to 10 of about 10,123,061 (206)
Regular Partial Residuated Lattices and Their Filters
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
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Categorical Equivalences from State-Effect Adjunctions [PDF]
From every pair of adjoint functors it is possible to produce a (possibly trivial) equivalence of categories by restricting to the subcategories where the unit and counit are isomorphisms.
Robert Furber
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MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS
We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block.
Zdenka Riečanová, Jiří Janda
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Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras
Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dimH≥3, α,β two positive numbers with 2α+β≠1 and Φ:ℰ(H)→ℰ(H) a bijective map.
Qing Yuan, Kan He
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Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras
We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]G = [0, q]E ∩ G of G (q ∈ G , q ≠ 0) is a sub-effect algebra of the effect algebra [0, q]E.
Zdenka Riečanová, Michal Zajac
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Extensions of Effect Algebra Operations
We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra.
Z. Riečanová, M. Zajac
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More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups
We continue in the direction of our paper on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups. Namely we extend our considerations to the setting of weakly ordered partial groups.
J. Paseka, J. Janda
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Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces
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.
Z. Riečanová
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Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation.
Christiane Quesne, Volodymyr M. Tkachuk
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Derr R, Williamson RC.
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