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A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). (English) Zbl 0306.46035


MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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References:

[1] L. B. Gamlen and R. J. Gaudet,On subsequences of the Haar system in L p [0, 1] (1<p<, Israel J. Math.15 (1973), 404–413. · Zbl 0296.46031
[2] J. Lindenstrauss and A. Pelczynski,Contribution to the theory of the classical Banach spaces, J. Functional Analysis8 (1971).
[3] A. Zygmund,Trigonometric Series, Cambridge, 1959. · Zbl 0085.05601
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