On totally barrelled spaces

DOI10.1007/BF01262043zbMath0449.46002MaRDI QIDQ1147330

Pedro Perez Carreras, Manuel Valdivia

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173100

zbMATH Keywords

suprabarreled spacestotally barreled spacesunordered-Baire-like space

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Tensor products in functional analysis (46M05)

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A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions, Webs and bounded finitely additive measures, Strong barrelledness properties in B(Σ, X), Barrelledness in \(\ell_{\infty}(\Omega,X)\) subspaces, Countably quasi-suprabarrelled spaces

Cites Work

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• 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
• Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled