Topological vector spaces. 4th corr. printing. (English) Zbl 0435.46003

Graduate Texts in Mathematics, 3. New York-Heidelberg-Berlin: Springer-Verlag. XI, 294 p. DM 48.00; $ 28.40 (1980).


46A03 General theory of locally convex spaces
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46A04 Locally convex Fréchet spaces and (DF)-spaces
46A20 Duality theory for topological vector spaces
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A32 Spaces of linear operators; topological tensor products; approximation properties
46A25 Reflexivity and semi-reflexivity
46A40 Ordered topological linear spaces, vector lattices
46B42 Banach lattices
46A55 Convex sets in topological linear spaces; Choquet theory
47B60 Linear operators on ordered spaces
46F05 Topological linear spaces of test functions, distributions and ultradistributions
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.)


Zbl 0141.305