Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\)

DOI10.1007/BF02392872zbMath0484.46020MaRDI QIDQ1163722

William B. Johnson, Edward Odell

Publication date: 1981

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

quotient spacecomplemented subspacesRosenthal space

Mathematics Subject Classification ID

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

Related Items (8)

Descriptive complexity of some isomorphism classes of Banach spaces ⋮ Ordinal indices of small subspaces of \(L_p\) ⋮ Small subspaces of \(L_p\) ⋮ On the complemented subspaces of \(X_p\) ⋮ Operators on \(L_{p}\) \((2<p<\infty)\) which factor through \(X_{p}\) ⋮ The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\) ⋮ On the structure of Rosenthal's space \(X_\varphi\) in Orlicz function spaces ⋮ Constructing unconditional finite dimensional decompositions

Cites Work

• An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
• Subspaces and quotient spaces of \((\sum G_n)_{l_p}\) and \((\sum G_n)_{c_0}\)
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Symmetric structures in Banach spaces
• On projections and unconditional bases in direct sums of Banach spaces
• Every L p Operator is an L 2 Operator
• Operators into L_p which Factor Through l_p
• Projections on Banach spaces with symmetric bases
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