A new class of \(L^ 1-\)spaces

DOI10.1007/BF02762857zbMath0478.46016MaRDI QIDQ1161124

Jean Bourgain

Publication date: 1981

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

zbMATH Keywords

Haar measureRadon Nikodym propertyskript L1 spacewell founded tree subspaces

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) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (11)

\({\mathcal COL}_p\) spaces -- the local structure of non-commutative \(L_p\) spaces ⋮ A characterization of the local dual spaces of a Banach space ⋮ A study of (\(wV)\)-like property on Banach spaces ⋮ G-Riesz operators and their spectral properties ⋮ A Bourgain-Pisier construction for general Banach spaces ⋮ Embedding \(\ell_ p^ k\) in subspaces of \(L_ p\) for \(p>2\) ⋮ Conjugate operators that preserve the nonconvergence of bounded martingales ⋮ An unconditionally saturated Banach space with the scalar-plus-compact property ⋮ \({\mathcal{L}_1}\)-spaces with the Radon-Nikodým property containing reflexive subspaces ⋮ Polynomials with an integral representation ⋮ The dual of the Bourgain-Delbaen space

Cites Work

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• Examples of \(\mathscr{L}_ 1\) spaces
• A class of special L//infinity spaces
• An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
• On subsequences of the Haar system in \(L_p [0,1\), \((1<p<\infty)\)]
• On Pelczynski's paper 'Universal bases'
• Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\)
• Embedding \(L_1\) in a Banach lattice
• The \(L_ p\) spaces
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Symmetric structures in Banach spaces
• Subspaces of $L^{1}$ containing $L^{1}$
• On Separable Banach Spaces, Universal for all Separable Reflexive Spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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