Results 1 to 10 of about 50,138 (297)

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.
van Zuijlen, Willem, van Rooij, Arnoud
exaly   +10 more sources

Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space [PDF]

Journal of Applied Mathematics, 2013
Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.
Toshiharu Kawasaki, Masashi Toyoda, Toshikazu Watanabe   +2 more
doaj   +2 more sources

Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

Mathematics, 2021
In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true.
Çetin Cemal Özeken, Cüneyt Çevik
doaj   +3 more sources

Bands in partially ordered vector spaces with order unit [PDF]

Positivity, 2015
In an Archimedean directed partially ordered vector space X one can define the concept of a band in terms of disjointness. Bands can be studied by using a vector lattice cover Y of X. If X has an order unit, Y can be represented as C(?), where ?
Anke Kalauch, Bas Lemmens, Onno Van Gaans   +2 more
exaly   +2 more sources

Unbounded Order Convergence in Ordered Vector Spaces

Journal of Mathematics
We consider an ordered vector space X. We define the net xα⊆X to be unbounded order convergent to x (denoted as xα⟶uox). This means that for every 0≤y∈X, there exists a net yβ (potentially over a different index set) such that yβ↓0, and for every β ...
Masoumeh Ebrahimzadeh, Kazem Haghnejad Azar   +1 more
doaj   +2 more sources

An AHP-ME-IOWA Model for Assessing National Space Technology Scientific and Technological Strength: A Case Study of the United States [PDF]

Entropy
Space technology, a frontier of global scientific innovation, is crucial for competitive edges and national tech innovation. Amid intensified international competition and rapid technological change, scientifically evaluating a country’s Scientific and ...
Yingying Chen, Zhenqiang Qi, Jinzhao Li, Yuting Zhu   +3 more
doaj   +2 more sources

Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces

Results in Mathematics
It is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space with a generating coneto an ordered vector space is collectively order bounded; and each collectively order-to-norm bounded set of operators ...
Eduard Emelyanov, Nazife Erkurşun-Özcan, Svetlana Gorokhova   +2 more
exaly   +2 more sources

An order topology in ordered topological vector spaces [PDF]

Transactions of the American Mathematical Society, 1976
An order topology Ω \Omega that can be defined on any partially-ordered space has as its closed sets those that contain the (o)-limits of all their (o)-convergent nets.
Lyne H. Carter
core   +3 more sources

Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]

Journal of Hyperstructures, 2023
Let X be a Hausdor  topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
doaj   +1 more source

Ordered vector spaces [PDF]

Proceedings of the American Mathematical Society, 1952
Simple consequences of these assumptions are: x>y implies x+z >y+z;x>y implies Xx>Xy for real positive scalarsX; x > 0 if and only if 0>-x. An important class of examples of such V's is due to R. Thrall ; we shall call these spaces lexicographic function spaces (LFS), defining them as follows: Let T be any simply ordered set ; let / be any real-valued ...
Hausner, M., Wendel, J. G.
openaire   +2 more sources