On the complemented subspaces of \(X_p\)

DOI10.1007/BF02777814zbMath0763.46014arXivmath/9201214MaRDI QIDQ1180400

Dale E. Alspach

Publication date: 27 June 1992

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

Full work available at URL: https://arxiv.org/abs/math/9201214

zbMATH Keywords

complemented subspaceRosenthal space\({\mathcal L}_ p\)-space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (3)

Ordinal indices of small subspaces of \(L_p\) ⋮ A strict version of the non-commutative Urysohn Lemma ⋮ On the structure of Rosenthal's space \(X_\varphi\) in Orlicz function spaces

Cites Work

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• Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\)
• An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
• Constructing unconditional finite dimensional decompositions
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• On projections and unconditional bases in direct sums of Banach spaces
• Every L p Operator is an L 2 Operator

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