Barrelledness in topological and ordered vector spaces

zbMath0392.46005MaRDI QIDQ1251782

S. M. Khaleelulla, Taqdir Husain

Publication date: 1978

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

(Df)-Spaces(F)-SpacesBanach-Steinhaus TheoremsBarrellednessBornological SpaceClosed Graph TheoremsCountably Quasibarrelled SpacesCountably Quasiultrabarrelled SpacesNonlocally Convex SpaceOpen Mapping TheoremsOrder-Quasibarrelled Vector LatticesOrder-Quasiultrabarrelled Vector LatticesOrdered Vector SpacesQuasibarrelled SpaceQuasiultra Barrelled SpaceSequentially Barrelled SpacesUltrabornological Spaces

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Summability and bases in topological vector spaces (46A35) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

Uniform Boundedness and Closed Graph Theorems for Convex Operators ⋮ Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings ⋮ On weak and Schauder \({\mathcal F}\)-bases in topological vector spaces ⋮ Categorical anatomy of closed graph and open mapping theorems ⋮ Convex Hedging in Incomplete Markets ⋮ Coherent hedging in incomplete markets

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