Order bornological locally convex lattice cones
Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 3, pp. 21-30
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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.
@article{VMJ_2017_19_3_a2,
author = {D. Ayaseh and A. Ranjbari},
title = {Order bornological locally convex lattice cones},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {21--30},
publisher = {mathdoc},
volume = {19},
number = {3},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2017_19_3_a2/}
}
D. Ayaseh; A. Ranjbari. Order bornological locally convex lattice cones. Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 3, pp. 21-30. http://geodesic.mathdoc.fr/item/VMJ_2017_19_3_a2/