An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and $L^{1}$

DOI10.4064/SM-66-2-185-200zbMath0434.46015OpenAlexW999999766MaRDI QIDQ3872992

Stanislaw Kwapien, Stanislaw J. Szarek

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/218282

zbMATH Keywords

absolutely summing operatorsL1 spaceC spacenormed, weakly compact basisorthonormal, uniformly bounded 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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

On projections in \(L_ 1\) and \(L_{\infty}\) ⋮ Bases of symmetric function spaces ⋮ Simple proofs of Olevskij type theorems ⋮ Bases and biorthogonal systems in the spaces \(C\) and \(L^1\) ⋮ On unconditional basis property of sine and cosine systems

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