Grothendieck locally convex spaces of continuous vector valued functions

DOI10.2140/PJM.1985.120.345zbMath0575.46036OpenAlexW2049130378MaRDI QIDQ1064517

Francisco J. Freniche

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.120.345

zbMATH Keywords

compact-open topologyGrothendieck spacesspace of continuous vector valued functionsC(X,E) spacesstrict inductive limit of Fréchet-Montel spacesweak-star and weak sequential convergences

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (7)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ Schwartz spaces and compact holomorphic mappings ⋮ Extending Edgar's ordering to locally convex spaces ⋮ Grothendieck operators on tensor products ⋮ Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs ⋮ Grothendieck spaces: the landscape and perspectives ⋮ Grothendieck spaces. II

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