Existence of complemented subspaces isomorphic to \(l^{q}\) in quasi Banach interpolation spaces

DOI10.1216/RMJ-2009-39-3-899zbMath1183.46019OpenAlexW2137386702MaRDI QIDQ1024975

J. Martínez

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-3-899

zbMATH Keywords

real interpolation methodcomplemented subspaces isomorphic to \(l^q\)quasi Banach spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

On a problem of Lions concerning real interpolation spaces. The quasi-Banach case ⋮ Generalized quasi-Banach sequence spaces and measures of noncompactness

Cites Work

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• Espaces d'interpolation réels: Topologie et géométrie
• The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
• Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
• Real Interpolation of WeightedLp-Spaces
• Pitt's theorem for operators between general Lorentz sequence spaces
• A new approach in interpolation spaces
• Interpolation of Quasi-Normed Spaces.
• Interpolation of r-Banach spaces

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