Results 31 to 40 of about 114 (62)
Variety of orthomodular posets
, 2014 Orthomodular posets play an important role in the so-called logical structure of a physical system as formerly pointed out by numerous authors. In particular, they play an essential role in the logic of quantum mechanics.
I. Chajda, M. Kolařík
semanticscholar +1 more source
A numerical example for the intersection of the compatible quasilinear extensions of a partial order
, 2017 We present a numerical example for the intersection of the maximal compatible extensions of a partial order.
A. Házy +3 more
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Conrad’s Partial Order on P.Q.-Baer *-Rings
Discussiones Mathematicae - General Algebra and Applications, 2018 We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-ring with the Conrad’s partial order are shown to be an orthomodular ...
Khairnar Anil, Waphare B.N.
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Journal of Mathematics, Volume 2025, Issue 1, 2025.Let X be a finite total order set and E be a convex equivalence relation on X. We denote that OE(X) = {f ∈ TE(X) : ∀x, y ∈ X, x ≤ y⟹f(x) ≤ f(y)} , where TE(X) is an E− preserving transformation semigroup. Obviously, OE(X) is a subsemigroup of TE(X), which is called an order‐preserving and equivalence‐preserving transformation semigroup.
Meiqing Qin, Xuerong Fu, Nian-Sheng Tang
wiley +1 more source
One-sided star partial orders for bounded linear operators
, 2015 We compare some recent approaches to transferring the notions of leftand rightstar partial order, introduced for complex matrices in early 90-ies, to bounded linear Hilbert space operators, and discuss a new version of these orders.
J. Cı̄rulis
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Largest and least fixed point theorems of increasing mappings in partially ordered metric spaces
Fixed Point Theory and Applications, 2013 In this paper, some largest and least fixed point theorems of increasing mappings in partially ordered metric spaces are proved, which extends and improves essentially many recent results since the additivity of η has been removed.
Shujun Jiang, Zhilong Li
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On P-contractions in ordered metric spaces
, 2012 In this paper, we introduced a new type of a contractive condition defined on an ordered space, namely a P-contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces.
P. Chaipunya +2 more
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Automorphisms of K(H) with respect to the star partial order
, 2013 Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H . In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in
G. Dolinar, A. Guterman, J. Marovt
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When is an integral stochastic order generated by a poset?
Journal of Inequalities and Applications, 2012 Given a partial order ⪯ on a set X, one can consider the class of ⪯-preserving real functions on X characterized by x⪯y implies f(x)≤f(y). Such a class of functions allows us the generation of a binary relation ⪯g on the set of probabilities associated ...
M. López-Díaz, M. López-Díaz
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Equational characterizations for some subclasses of domains
Open MathematicsIt is well known that the continuity of a poset can be seen as a special distributivity. There is an open problem: is there an equational characterization for continuous semilattices?
Feng Fan, Li Xiangrui
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