DIEUDONNÉ—KÖTHE DUALITY FOR VECTOR—VALUED FUNCTION SPACES: LOCALIZATION OF BOUNDED SETS AND BARRELLEDNESS

DOI10.1080/16073606.1997.9632002zbMath0901.46029OpenAlexW1993724174MaRDI QIDQ4360226

Fernando Mayoral, Pedro J. Paúl, Miguel Florencio

Publication date: 29 November 1998

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1997.9632002

zbMATH Keywords

dualitysequence spacescompletenessFréchet spacesBochner integralRadon-Nikodym propertyvector-valued function spacesbarrellednessbounded setssummable functionsdensity condition\((DF)\)-spacesDieudonné-Köthe spaces of Lusin-measurable functionspermanence results for reflexivitysolid locally convex lattice

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Vector-valued measures and integration (46G10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted inductive and projective limits of normed Köthe function spaces
• Köthe echelon spaces à la Dieudonné
• Some remarks on Köthe paces
• Rearrangement invariant Köthe spaces
• Note on Köthe spaces
• Dual spaces of certain vector sequence spaces
• On the theory of spaces \(\Lambda\)
• Sur les espaces de Köthe
• Locally Convex Spaces with Radon-Nikodym Property
• Duals of vector-valued Köthe function spaces
• Spaces of Vector‐Valued Integrable Functions and Localization of Bounded Subsets

This page was built for publication: DIEUDONNÉ—KÖTHE DUALITY FOR VECTOR—VALUED FUNCTION SPACES: LOCALIZATION OF BOUNDED SETS AND BARRELLEDNESS