1. CMB 2011 (vol 55 pp. 783)
|Products and Direct Sums in Locally Convex Cones|
In this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in product 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.
Keywords:product and direct sum, duality, locally convex cone
Categories:20K25, 46A30, 46A20