Remarks on subspaces of \(H_ p \)when \(0

DOI10.1307/mmj/1029002669zbMath0516.46038OpenAlexW2042578484MaRDI QIDQ1052600

David A. Trautman, Nigel J. Kalton

Publication date: 1982

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002669

zbMATH Keywords

quasi-Banach spacesRadon-Nikodym propertyHahn-Banach extension propertyclosed subspaces of Hprange of a translation invariant projectiontranslation-invariant subspaces

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Classical Banach spaces in the general theory (46B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (5)

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces ⋮ On the Hahn-Banach extension property in Hardy and mixed norm spaces on the unit ball ⋮ The Banach envelope of Paley-Wiener type spaces

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