Results 231 to 240 of about 305,204 (290)

On Disjointness, Bands and Projections in Partially Ordered Vector Spaces

, 2020
Disjointness, bands, and band projections are a classical and essential part of the structure theory of vector lattices. If X is such a lattice, those notions seem – at first glance – intimately related to the lattice operations on X.
Jochen Gluck
semanticscholar   +1 more source

Vector Lattices Associated with Ordered Vector Spaces

Mediterranean Journal of Mathematics, 2010
The vector lattice generated by a real Archimedean vector space \(V\) is considered. It is proved that the cone \(C\) of all positive linear forms on \(V\) separates elements of \(V\). Then the positive linear forms are determined in terms of conical measures on the cone \(C\).
openaire   +1 more source

Multiobjective interval linear programming in admissible-order vector space

Information Sciences, 2019
Multiobjective interval linear programming (MOILP) is one of the most important approaches to real-world optimization problems involving multiple conflicting objectives under imprecision or uncertainty.
Dechao Li, Y. Leung, Weizhi Wu
semanticscholar   +1 more source

Endomorphisms of Partially Ordered Vector Spaces

Journal of the London Mathematical Society, 1955
A vector space V over the real field R is said to be partially ordered if a non-empty subset F + is specified which satisfies the following axioms: (i) if x and y are in V and oc 0, then x + y and VLX are in V) (ii) if x and — x are in T then x = 0.
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Risk Neutrality and Ordered Vector Spaces

SSRN Electronic Journal, 2006
The following result clarifies when preferences over time and under risk correspond to discounting and are not risk neutral. If a binary relation on a real vector space V satisfies four axioms, then there is a utility function U=fu from V to R where u from V to R is linear as a map of vector spaces and f from R to R is continuous and weakly monotone ...
James C. Alexander, Matthew J. Sobel
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Monotonic analysis over ordered topological vector spaces: IV

Journal of Global Optimization, 2008
The authors deal with increasing and co-radiant (ICR) functions defined on a topological vector space \(X\) equipped with a closed pointed convex cone. They characterize non-negative ICR functions on \(X\) as those functions that are abstract convex with respect to a suitable family \(L\) of (elementary) ICR functions \(\ell_{y,\alpha}:X\to [0,+\infty]\
Doagooei, A. R., Mohebi, Hossein
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Monotonic analysis over ordered topological vector spaces: I

Optimization, 2007
The theory of increasing and positively homogeneous (IPH) functions defined on a convex cone in a topological vector space X, is well developed. In this article, we present a suitable extension of this theory for IPH functions defined on the whole of the space X.
H. Mohebi, H. Sadeghi
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Measures under the flat norm as ordered normed vector space

Positivity (Dordrecht), 2018
P. Gwiazda, A. Marciniak-Czochra, H. Thieme   +2 more
semanticscholar   +2 more sources

Orthomodular lattices in ordered vector spaces

Algebra universalis, 2007
In a partly ordered space the orthogonality relation is defined by incomparability. We define integrally open and integrally semi-open ordered real vector spaces. We prove: if an ordered real vector space is integrally semi-open, then a complete lattice of double orthoclosed sets is orthomodular. An integrally open concept is closely related to an open
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Invariance and robustness of the ordered inequality of aggregate sustainability indices by vector space theory

Clean Technologies and Environmental Policy, 2017
A. C. Olinto
semanticscholar   +1 more source