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Vladikavkaz. Mat. Zh., 2017, Volume 19, Number 3, Pages 21–30 (Mi vmj621)  

Order bornological locally convex lattice cones

D. Ayaseh, A. Ranjbari

Department of Pure Mathematics, University of Tabriz, 29 Bahman Blvd., Tabriz, Iran

Abstract: In this paper, we introduce the concepts of $us$-lattice cones and order bornological locally convex lattice cones. In the special case of locally convex solid Riesz spaces, these concepts reduce to the known concepts of seminormed Riesz spaces and order bornological Riesz spaces, respectively. We define solid sets in locally convex cones and present some characterizations for order bornological locally convex lattice cones.

Key words: locally convex lattice cones, order bornological cones.

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MSC: 46A03, 46A40
Received: 21.11.2015
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Citation: D. Ayaseh, A. Ranjbari, “Order bornological locally convex lattice cones”, Vladikavkaz. Mat. Zh., 19:3 (2017), 21–30

Citation in format AMSBIB
\Bibitem{AyaRan17}
\by D.~Ayaseh, A.~Ranjbari
\paper Order bornological locally convex lattice cones
\jour Vladikavkaz. Mat. Zh.
\yr 2017
\vol 19
\issue 3
\pages 21--30
\mathnet{http://mi.mathnet.ru/vmj621}


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