Results 211 to 220 of about 49,665 (256)

Bochner integrals in ordered vector spaces [PDF]

Positivity, 2016
We present a natural way to cover an Archimedean directed ordered vector space E by Banach spaces and extend the notion of Bochner integrability to functions with values in E. The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map.
van Rooij, Arnoud, van Zuijlen, Willem
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Disjointness in Partially Ordered Vector Spaces

Positivity, 2006
If \(X\) is a vector lattice, \(x,y\in X\) and \(| x| \wedge| y| =0\), then \(x\) and \(y\) are disjoint. This instance of disjointness amounts to the equality \(| x+y| =| x-y| \). In other words, any upper bound of \(x+y\) and \(-x-y\) is an upper bound of \(x-y\) and \(y-x\). The latter property does not involve the lattice structure of \(X\).
van Gaans, Onno, Kalauch, Anke
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Order-quasiultrabarrelled vector lattices and spaces

Periodica Mathematica Hungarica, 1975
1. Introduetion In this paper, we introduce and study a class of topological vector lattices (more generally, ordered topological vector spaces) which we call the class of order-quasiultrabarreUed vector lattices abbreviated to O. Q. U. vector lattices (respectively, O. Q. U. spaces).
Husain, T., Khaleelulla, S. M.
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An algebraic ordered extension of vector space

Transactions of A Razmadze Mathematical Institute, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandip Jana
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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 \(C\).
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Fuzzy topological ordered vector spaces I

Fuzzy Sets and Systems, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamal El-Saady
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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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On Herglotz theorem in partially ordered vector spaces

Soft Computing, 2000
In the paper the Herglotz theorem is generalized for partially ordered spaces. Let \(Y\) denote a real monotone \(\sigma \)-complete partially ordered vector space and \(Z\) denote the complexification of \(Y\). For a sequence \(z_j\) of elements of \(Z\) let \(\sigma _N(z_j,t)\) be the sequence of Cesàro sums of the sequence \(z_j\). If for all real \(
Miloslav Duchon, Peter Malicky
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Dynamic Programming in Ordered Vector Space

Operations Research
Dynamic Programming in Ordered Vector Space  
Chengyuan Peng, John Stachurski
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Structure of quasi ordered ∗-vector spaces

2014
Let (𝑋,𝑋+) be a quasi ordered ∗-vector space with order unit, that is, a ∗-vector space 𝑋 with order unite together with a cone 𝑋+⊆𝑋. Our main goal is to find a condition weaker than properness of 𝑋, which suffices for fundamental results of ordered vector space theory to work.
Esslamzadeh, G. H., Moazami Goodarzi, M., Taleghani, F.   +2 more
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