Geodesic
Products and Direct Sums in Locally Convex Cones
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 783-798

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DOI

In this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in products and direct sums. In particular, we introduce suitable bases for these topologies, which leads us to investigate completeness of the direct sum and its components. Some results obtained about $X$ -topologies and polars of the neighborhoods.
DOI : 10.4153/CMB-2011-161-8
Mots-clés : 20K25, 46A30, 46A20, product and direct sum, duality, locally convex cone 
Motallebi, M. R.; Saiflu, H. Products and Direct Sums in Locally Convex Cones. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 783-798. doi: 10.4153/CMB-2011-161-8
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     author = {Motallebi, M. R. and Saiflu, H.},
     title = {Products and {Direct} {Sums} in {Locally} {Convex} {Cones}},
     journal = {Canadian mathematical bulletin},
     pages = {783--798},
     year = {2012},
     volume = {55},
     number = {4},
     doi = {10.4153/CMB-2011-161-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-161-8/}
}
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