Bourbaki, N. Elements of mathematics. Topological vector spaces. Chapters 1–5. Transl. from the French by H. G. Eggleston and S. Madan. (English) Zbl 0622.46001 Berlin etc.: Springer-Verlag. vii, 364 p.; DM 148.00 (1987). See the review on the “new” French edition (Paris: Masson) (1981) in Zbl 0482.46001. Cited in 4 ReviewsCited in 118 Documents 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 0050.10703; Zbl 0145.37702; Zbl 0066.35301; Zbl 0482.46001 PDFBibTeX XML