Topics in locally convex spaces. (English) Zbl 0489.46001

Valdivia, Manuel

North-Holland Mathematics Studies, 67. Notas de Matematica, 85. Amsterdam-New York-Oxford: North-Holland Publishing Company. xiii, 510 p. $ 69.75; Dfl. 150.00 (1982).

MSC:

46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46A45	Sequence spaces (including Köthe sequence spaces)
46F05	Topological linear spaces of test functions, distributions and ultradistributions
46A30	Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A03	General theory of locally convex spaces
46M40	Inductive and projective limits in functional analysis
46E10	Topological linear spaces of continuous, differentiable or analytic functions
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.)

Keywords:

convex Baire spaces; hereditary properties; Suslin spaces; closed graph theorem; open mapping theorems; weakly realcompact spaces; inductive limits; sequence spaces; co-echelon spaces; counterexamples; spaces of continuous functions; representations; nuclear; vector valued James spaces