An extension of the Kakutani-Bohnenblust characterization of \(L^p\)-spaces to \(p\in (0,\infty)\)

DOI10.1007/S11117-020-00741-1zbMath1476.46031OpenAlexW3009660745MaRDI QIDQ830355

S. Teerenstra, Arnoud C. M. van Rooij

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00741-1

zbMATH Keywords

characterization\(L^p\)-spacelocally solid Riesz space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Banach lattices (46B42) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Banach lattices
• An extension of Kakutani's theorem on abstract \(L^p\)-spaces to the case of any positive \(p\)
• An axiomatic characterization of \(L_p\)-spaces
• Concrete representation of abstract (L)-spaces and the mean ergodic theorem
• On the representation of the vector lattice
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An extension of the Kakutani-Bohnenblust characterization of \(L^p\)-spaces to \(p\in (0,\infty)\)