On holomorphy versus linearity in classifying locally convex spaces. (English) Zbl 0399.46034

Barroso, Jorge Alberto; Matos, Mario C.; Nachbin, Leopoldo

Infin. Dim. Holom. Appl., Proc. int. Symp., Univ. Estadual de Campinas/Brasil 1975, 31-74 (1977).

MSC:

46G20	Infinite-dimensional holomorphy
46A03	General theory of locally convex spaces
46E10	Topological linear spaces of continuous, differentiable or analytic functions
46A04	Locally convex Fréchet spaces and (DF)-spaces
46A08	Barrelled spaces, bornological 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.)

Keywords:

Holomorphically Bornological Space; Semimetrizable Spaces; Silva Spaces; Holomorphy Versus Linearity; Classifying Locally Convex Spaces; Barreled Space; G-Analytic Maps; Holomorphically Mackey Space

Citations:

Zbl 0356.00006