Products and Direct Sums in Locally Convex Cones

Canadian mathematical bulletin

M. R. Motallebi¹  H. Saiflu² 

[1] Department of Mathematics, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran;Department of Mathematics, Tabriz University, Tabriz, Iran

关键词: product and direct sum;    duality;    locally convex cone;   

DOI  :  10.4153/CMB-2011-161-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we define lower, upper, and symmetric completeness anddiscuss closure of the sets in product and direct sums. In particular,we introduce suitable bases for these topologies, which leads us toinvestigate completeness of the direct sum and its components. Someresults obtained about $X$-topologies and polars of the neighborhoods.

【 授权许可】

Unknown