Bases of rearrangement invariant spaces

DOI10.3103/S1066369X08050058zbMath1157.42309OpenAlexW2091004045MaRDI QIDQ1006967

S. N. Uksusov, Evgeny M. Semenov, Kazaros Kazarian

Publication date: 26 March 2009

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

Full work available at URL: https://doi.org/10.3103/s1066369x08050058

zbMATH Keywords

rearrangement-invariant spacesa spanning basisa strongly conditional basisan unconditional basisboundedly complete basesthe Haar system

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)

Cites Work

• Schauder bases which are conditional in each hyperoctant
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