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Ordered vector spaces

Linear Algebra and its Applications, 2015
Abstract This work was motivated by Problem 49-4 from “IMAGE” Issue Number 49, p. 52, Fall 2012 which was proposed by Rajesh Pereira. Seeking the solution to the problem led to the discovery of some interesting results on ordered vector spaces. It is shown that up to an isomorphism, there is only one order on a finite dimensional real vector space ...
Rohan Hemasinha, James R. Weaver
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Integrals for functions with values in a partially ordered vector space. [PDF]

Positivity (Dordr), 2016
We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the
van Rooij ACM, van Zuijlen WB.
europepmc   +3 more sources

Nonstandard hulls of lattice-normed ordered vector spaces [PDF]

TURKISH JOURNAL OF MATHEMATICS, 2018
Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is ...
Aydin, A., Gorokhova S., Gül H.
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The Archimedean order unitization of seminormed ordered vector spaces

Positivity (Dordrecht), 2022
In this paper, we describe a way of turning a seminormed preordered vector space into an Archimedean order unit space. We show that this construction satisfies a universal property similar to that of the Archimedeanization of Paulsen and Tomforde, and we give a number of applications of our result in ordered vector spaces and in matrix ordered operator
Josse van Dobben de Bruyn
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Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces [PDF]

Results in Mathematics
It is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space with a generating cone to an ordered vector space is collectively order bounded; and each collectively order-to-norm bounded set of operators ...
Eduard Emelyanov, N. Erkurşun-Özcan, S. Gorokhova   +2 more
semanticscholar   +1 more source

Visualization of the Anisotropy of the Velocity Dispersion and Characteristics of the Multi-Velocity Continuum in the Regions of Multi-Stream Flows of Gas-Dust Media with Polydisperse Dust

Journal of Imaging, 2020
Collisionless media devoid of intrinsic stresses, for example, a dispersed phase in a multiphase medium, have a much wider variety of space-time structures and features formed in them than collisional media, for example, a carrier, gas, or liquid phase ...
Mikhail A. Bezborodov, Mikhail A. Eremin, Vitaly V. Korolev, Ilya G. Kovalenko, Elena V. Zhukova   +4 more
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Ext-LOUDS: A Space Efficient Extended LOUDS Index for Superset Query

Applied Sciences, 2020
Superset query is widely used in object-oriented databases, data mining, and many other fields. Trie is an efficient index for superset query, whereas most existing trie index aim at improving query performance while ignoring storage overheads.
Lianyin Jia, Yuna Zhang, Jiaman Ding, Jinguo You, Yinong Chen, Runxin Li   +5 more
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An algebraic ordered extension of vector space

Transactions of A. Razmadze Mathematical Institute, 2018
In this paper we have discussed an algebraic ordered extension of vector space. This new structure comprises a semigroup structure, a scalar multiplication and a compatible partial order.
Priti Sharma, S. Jana
semanticscholar   +1 more source

Subharmonic envelopes for functions on domains

Вестник Самарского университета: Естественнонаучная серия, 2023
One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
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Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space

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   +1 more source