Angosto Hernández, Carlos; Kakol, Jerzy Marian; López Pellicer, Manuel(Elsevier, 2013-07-01)
[EN] Let E be a Frechet space, i.e. a metrizable and complete locally convex space (lcs), E '' its strong second dual with a defining sequence of seminorms parallel to center dot parallel to(n) induced by a decreasing basis ...
Kakol, Jerzy Marian; López Pellicer, Manuel(Springer, 2011)
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, ...
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...