Banach sublattices of weak \(L_ 1\)

DOI10.1007/BF02774140zbMath0642.46029MaRDI QIDQ1101646

Michel Talagrand, N. Tenney Peck

Publication date: 1987

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

zbMATH Keywords

Banach envelopeorder continuous normgeneralized basislattice isometricnon-separable Banach latticesspreading invariance conditionweak \(L_ 1\)

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) Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

A decomposition property of weak L_î, Sublattices of the Banach envelope of weak 𝐿¹, Rearrangement invariant continuous linear functionals on weak \(L^{1}\), The normed and Banach envelopes of \(\text{weak }L^1\)

Cites Work

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• The \(L_ 1\) structure of weak \(L_ 1\)
• Banach spaces embedding into \(L_ 0\)
• The canonical seminorm on Weak L¹
• Maximal seminorms on Weak $L^{1}$
• A counterexample to several questions about Banach spaces
• On the conjugates of some function spaces