Elements of mathematics. Topological vector spaces. Chapters 1-5. (Éléments de mathématique. Espaces vectoriels topologiques. Chapitres 1 à 5.) (French) Zbl 0482.46001

Bourbaki, N.

Paris etc.: Masson. VII, 368 p. (1981).

MSC:

46Axx	Topological linear spaces and related structures
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46Exx	Linear function spaces and their duals
46C05	Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
46M05	Tensor products in functional analysis

Keywords:

Markoff-Kakutani fixed point theorem; Ryll-Nardzewski theorem; lifting; surjective strict morphism; paracomplete spaces; sandwich theorems; sublinear functions; bornology; spaces of infinitely differentiable functions; Gevrey spaces; spaces of holomorphic functions; Banach-Steinhaus theorem; bornological spaces; Borel graph theorem; tensor products; symmetric and exterior powers of Hilbert spaces; symmetric and antisymmetric Fock spaces; Wick product; Hilbert-Schmidt operators

Citations:

Zbl 0066.35301; Zbl 0145.37702; Zbl 0050.10703