of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize...

In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures...

typically not Banach spaces. A Fréchet space X {\displaystyle X} is defined to be a locally convex metrizable topological vector space (TVS) that is complete...

Characterization of normable spaces Locally convex topological vector space – a vector space with a topology defined by convex open sets Space (mathematics) – mathematical...

mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include...

mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X {\displaystyle...

Distortion problem Interpolation space Locally convex topological vector space – A vector space with a topology defined by convex open sets Modulus and characteristic...

generally, every locally convex topological vector space is locally connected, since each point has a local base of convex (and hence connected) neighborhoods...

(Dieudonné). Let A and B be non-empty, closed, and convex subsets of a locally convex topological vector space such that rec ⁡ A ∩ rec ⁡ B {\displaystyle \operatorname...

assume that a space is Hausdorff or locally convex. However, suppose X is a topological vector space, not necessarily Hausdorff or locally convex, but with...