Open AccessПорядково борнологические локально выпуклые решеточные конусы
Author(s) -
D. Ayaseh,
A. Ranjbari
Publication year - 2017
Publication title -
vladikavkazskij matematičeskij žurnal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.126
H-Index - 2
eISSN - 1814-0807
pISSN - 1683-3414
DOI - 10.23671/vnc.2017.3.7109
Subject(s) - mathematics , locally convex topological vector space , regular polygon , pure mathematics , lattice (music) , riesz representation theorem , geometry , physics , acoustics
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.