Some results concerning L\(^p(\mu)\)-spaces

DOI10.1016/0022-1236(73)90050-5zbMath0265.46032OpenAlexW1983068531MaRDI QIDQ2562341

Per Enflo, Haskell P. Rosenthal

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90050-5

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

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Cites Work

• Unnamed Item
• Unnamed Item
• Uniformly non-square Banach spaces
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• On the nonexistence of uniform homeomorphisms between \(L^ p\)-spaces
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Extrapolation and interpolation of quasi-linear operators on martingales
• On subspaces of L\(^p\)
• On the impossibility of embedding of the space L in certain Banach spaces
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• A Remarkable Series of Orthogonal Functions (I)
• On a theorem of L. Schwartz and its applications to absolutely summing operators
• On relatively disjoint families of measures, with some applications to Banach space theory
• On Homogeneous Measure Algebras