Functional analysis

Brauner space

In functional analysis and related areas of mathematics a Brauner space is a complete compactly generated locally convex space having a sequence of compact sets such that every other compact set is contained in some . Brauner spaces are named after Kalman George Brauner, who began their study. All Brauner spaces are stereotype and are in the stereotype duality relations with Fréchet spaces: * for any Fréchet space its stereotype dual space is a Brauner space, * and vice versa, for any Brauner space its stereotype dual space is a Fréchet space. Special cases of Brauner spaces are Smith spaces. (Wikipedia).

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Related pages

Affine variety | Smith space | Functional analysis | Fréchet space | Mathematics | Radon measure | Stein manifold | Compactly generated space | Locally compact space | Uniform space | Topological group