On complemented subspaces of \((\sum\ell_2)_{\ell_p}\)

DOI10.1007/BF02761814zbMath0333.46005MaRDI QIDQ1228775

Edward Odell

Publication date: 1976

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

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Sequence spaces (including Köthe sequence spaces) (46A45)

Related Items (6)

Unnamed Item ⋮ Small subspaces of \(L_p\) ⋮ On weighted \(L_p\)-spaces of vector-valued entire analytic functions ⋮ On sequence space representations of Hörmander--Beurling spaces ⋮ No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms ⋮ Commutators on \((\sum\ell_q)_{\ell_1}\)

Cites Work

• Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis
• Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\)
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Classical Banach spaces
• Some results concerning L\(^p(\mu)\)-spaces
• Projections in certain Banach spaces
• On projections and unconditional bases in direct sums of Banach spaces
• Super-reflexive spaces with bases
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