Bases of symmetric function spaces

DOI10.1007/BF01240450zbMath0637.46034OpenAlexW2071985938MaRDI QIDQ1099039

E. V. Tokarev, Anatolij M. Plichko

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01240450

zbMATH Keywords

trigonometric basesrearrangement invariant Banach function spaces

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

• Complete biorthogonal systems in Banach spaces
• Bases and biorthogonal systems in the spaces \(C\) and \(L^1\)
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and $L^{1}$
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• Existence of some special bases in Banach spaces
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