Locally convex spaces. (English) Zbl 0466.46001

Mathematische Leitfäden. Stuttgart: B. G. Teubner. 548 p. DM 98.00 (1981).


46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46A03 General theory of locally convex spaces
46A13 Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46M40 Inductive and projective limits in functional analysis
46A20 Duality theory for topological vector spaces
46A08 Barrelled spaces, bornological spaces
46A04 Locally convex Fréchet spaces and (DF)-spaces
46M05 Tensor products in functional analysis
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47L30 Abstract operator algebras on Hilbert spaces