Rosenthal L∞-theorem revisited

DOI10.17398/2605-5686.36.2.147zbMath1489.46003OpenAlexW3211782343MaRDI QIDQ3390299

Drewnowski, Lech

Publication date: 24 March 2022

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

Full work available at URL: https://doi.org/10.17398/2605-5686.36.2.147

zbMATH Keywords

isomorphismquasi-normed space\(p\)-normed spacelocally bounded spaceRosenthal \(\ell_\infty\)-theoremvector-valued \(\ell_\infty\)-function space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spaces of measures
• Topological vector spaces of Bochner measurable functions
• Generalized limited sets with applications to spaces of type \(\ell_{\infty}(X)\) and \(c_0(X)\)
• Spaces of compact operators
• Sufficient condition for Pareto optimization in Banach spaces
• A Short Proof and Generalization of a Measure Theoretic Disjointization Lemma
• Exhaustive operators and vector measures
• An extension of a theorem of Rosenthal on operators acting from $l_{∞}(Γ)$
• Exhaustive measures in arbitrary topological vector spaces
• Copies of 𝑐₀ and ℓ_{∞} in topological Riesz spaces
• COMPLEMENTATION AND EMBEDDINGS OF c₀(I) IN BANACH SPACES
• ON COMPLEMENTED AND QUASI-COMPLEMENTED SUBSPACES OF QUOTIENTS OF C(S) FOR STONIAN S
• Correction to the paper "On relatively disjoint families of measures, with some applications to Banach space theory" this volume pp. 13-36
• Separably injective Banach spaces

This page was built for publication: Rosenthal L∞-theorem revisited