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.