Results 61 to 70 of about 428,865 (120)

An orthomodular lattice admitting no group-valued measure

, 1994
We construct a finite orthomodular lattice L such that, for each commutative group G, there is no nontrivial G-valued measure on L. This result extends a result of R. J. Greechie (Orthogonal lattices admitting no states, J. Combin. Theory Ser. A 10 (1971)
Mirko Navara
core   +1 more source

Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]

Entropy (Basel), 2023
Derr R, Williamson RC.
europepmc   +1 more source

Non-Kolmogorovian Probabilities and Quantum Technologies. [PDF]

Entropy (Basel), 2022
Holik FH.
europepmc   +1 more source

On Boolean posets of numerical events. [PDF]

Adv Comput Intell, 2021
Dorninger D, Länger H.
europepmc   +1 more source

Sheffer operation in relational systems. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

On Interval Homogeneous Orthomodular Lattices

, 1999
An orthomodular lattice L is said to be interval homogeneous (resp. centrally interval homogeneous) if it is -complete and satises the following property: Whenever L is isomorphic to an interval, [a; b], in L then L is isomorphic to each interval [c; d]
A. De Simone, M. Navara, P. Pták
core  

Axioms for the category of Hilbert spaces. [PDF]

Proc Natl Acad Sci U S A, 2022
Heunen C, Kornell A.
europepmc   +1 more source

Subjective expected utility on orthomodular lattices

International audienceIn recent work, the author has developed a general category-theoretic framework for decision theory. This paper applies this to the category of orthomodular lattices.
Pivato, Marcus
core   +1 more source

Algebraic aspects of quantum indiscernibility [PDF]

, 2008
We show that using quasi-set theory, or the theory of collections of indistinguishable objects, we can define an algebra that has most of the standard properties of an orthocomplete orthomodular lattice, which is the lattice of all closed subspaces of a ...
Krause, Decio, Feitosa, Hercules de Araujo   +1 more
core  

An Intrisic Topology for Orthomodular Lattices

, 2007
International audienceWe present a general way to define a topology on orthomodular lattices. We show that in the case of a Hilbert lattice, this topology is equivalent to that induced by the metrics of the corresponding Hilbert space.
Olivier Brunet, Brunet, Olivier
core   +1 more source