Functional analysis | Topological vector spaces

Webbed space

In mathematics, particularly in functional analysis, a webbed space is a topological vector space designed with the goal of allowing the results of the open mapping theorem and the closed graph theorem to hold for a wider class of linear maps whose codomains are webbed spaces. A space is called webbed if there exists a collection of sets, called a web that satisfies certain properties. Webs were first investigated by de Wilde. (Wikipedia).

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Related pages

Metrizable topological vector space | Functional analysis | Topological vector space | Absorbing set | Open mapping theorem (functional analysis) | Baire space | Strong dual space | Closed graph theorem (functional analysis) | Hausdorff space | Absolutely convex set | Linear map | Fréchet space | Mathematics | Set (mathematics) | Ultrabornological space | Meagre set | Bornological space | Locally convex topological vector space | Balanced set