On certain barrelled normed spaces

DOI10.5802/AIF.752zbMath0379.46004OpenAlexW2024946053MaRDI QIDQ1247565

Manuel Valdivia

Publication date: 1979

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1979__29_3_39_0

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Barrelled spaces, bornological spaces (46A08)

Related Items (18)

Continuous function spaces, (db)-spaces and strongly Hewitt spaces ⋮ A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ Algebras of sets generating non-barrelled spaces ⋮ On Valdivia strong version of Nikodym boundedness property ⋮ Nikodym boundedness property for webs in \(\sigma\)-algebras ⋮ On Schachermayer and Valdivia results in algebras of Jordan measurable sets ⋮ Webs and bounded finitely additive measures ⋮ On Nikodým and Rainwater sets for ba (R) and a problem of M. Valdivia ⋮ On Nikodym boundedness property ⋮ Weak sequential convergence in bounded finitely additive measures ⋮ On totally barrelled spaces ⋮ C//kappa(X) and a property of (db)-spaces ⋮ Vitali-Hahn-Saks property in coverings of sets algebras ⋮ A Note on a Theorem of J. Diestel and B. Faires ⋮ Strong barrelledness properties in \(\ell ^{\infty}_ 0(X,{\mathcal A})\) and bounded finite additive measures ⋮ The uniform bounded deciding property and the separable quotient problem ⋮ On uniform boundedness properties in exhausting additive set function spaces ⋮ Minimally generated Boolean algebras and the Nikodym property

Cites Work

• Unnamed Item
• On a theorem of Nikodym with applications to weak convergence and von Neumann algebras
• On closed graph theorem
• Addendum to ``\(FK\)-spaces containing \(c_0\)
• Exhaustive measures in arbitrary topological vector spaces
• On weak compactness

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