An Orthonormal Basis for C[ 0, 1 ] That is not an Unconditional Basis for L p [ 0, 1 ], 1 < p � 2

DOI10.2307/2046075zbMath0594.46009OpenAlexW4252179584MaRDI QIDQ3724951

Robert E. Zink

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046075

zbMATH Keywords

Franklin systemHaar systemunconditional basisorthonormal Schauder basis

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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