A Hilbert space characterization among function spaces

DOI10.1007/BF01904269zbMath0863.46018OpenAlexW139952630MaRDI QIDQ1900717

Evgeny M. Semenov, Carlo Franchetti

Publication date: 3 June 1997

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904269

zbMATH Keywords

Hilbert spaceprojectionOrlicz spacesrearrangement invariant spacesBanach space of measurable functionsconvexity theorem of Lyapunovreflexivity theorem of Lozanovskiiseparable RI-space

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) Characterizations of Hilbert spaces (46C15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Spaces defined by the Paley function

Cites Work

• Period, index and potential \(\text Ш\)
• Characterizations of inner product spaces
• A course on optimization and best approximation
• SURJECTIVE ISOMETRIES ON REARRANGEMENT-INVARIANT SPACES
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