Weak compactness in \(L^ 1(\)lambda) and injective Banach spaces

DOI10.1007/BF02762865zbMath0466.46059OpenAlexW2013848070WikidataQ114233750 ScholiaQ114233750MaRDI QIDQ1155226

Spiros A. Argyros

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762865

zbMATH Keywords

injective Banach spacesweakly compact subsetsisomorphic structure

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) Geometry and structure of normed linear spaces (46B20) Projective and injective objects in functional analysis (46M10) Other combinatorial set theory (03E05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

On the Dimension of Injective Banach Spaces ⋮ On Nonseparable Banach Spaces

Cites Work

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• Uniformly non-square Banach spaces
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Proof of a conjecture of B. Ruziewicz
• Intersection Theorems for Systems of Sets
• On the Dimension of Injective Banach Spaces
• On Banach spaces containing $L_{1}(μ)$
• On relatively disjoint families of measures, with some applications to Banach space theory

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