Characterizations and classifications of some classical Banach spaces

DOI10.1016/S0001-8708(74)80008-3zbMath0278.46027MaRDI QIDQ1842888

H. Elton Lacey, S. J. Bernau

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

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) Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (6)

Representations of Archimedean Riesz spaces. - A survey ⋮ Copies of $c_0(\tau )$ spaces in projective tensor products ⋮ Normed lattices ⋮ Representations of Archimedean Riesz spaces by continuous functions ⋮ Über die Korovkinhülle von Teilmengen in lokalkonvexen Vektorverbänden ⋮ When does \(C(K,X)\) contain a complemented copy of \(c_0(\Gamma )\) iff \(X\) does?

Cites Work

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• On perfectly homogeneous bases in Banach spaces
• Banachverbände und positive Projektionen
• Measures defined by abstract \(L_{p}\) spaces
• Topological representation of abstract \(L_{p}\)-spaces
• Remarks on contractive projections in \(L_{p}\)-spaces
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• Contractive projections in \(L_ p\)-spaces
• Some aspects of the theory of Banach spaces
• On the complemented subspaces problem
• A note on the characterization of conditional expectation operators
• A note on \(L_p\)-spaces
• An axiomatic characterization of \(L_p\)-spaces
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Concrete representation of (M)-spaces
• Projections in certain Banach spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• A Note on (M )-Spaces
• Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces $L^p$
• On Homogeneous Measure Algebras
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹

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