Remarks and examples concerning suprabarrelled and totally barrelled spaces

DOI10.1007/BF01899442zbMath0487.46001OpenAlexW2004772676MaRDI QIDQ1165427

Pedro Perez Carreras, José Bonet

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01899442

zbMATH Keywords

continuous normFrechet spaceinductive limit of totally barrelled spacesinductive limit of unordered-Baire-like spacesLF spacesuprabarrelled and totally barrelled spaces

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (5)

A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ On ordered suprabarrelled spaces ⋮ Strong barrelledness properties in B(Σ, X) ⋮ Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures ⋮ Countably quasi-suprabarrelled spaces

Cites Work

• Unnamed Item
• Absolutely convex sets in barrelled spaces
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• Completeness and the open mapping theorem
• Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces
• On Baire-hyperplane spaces

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