A remark on unconditional basic sequences in \(L_p\) (\(1

DOI10.1007/BF02757716zbMath0306.46035MaRDI QIDQ1217978

Gideon Schechtman

Publication date: 1975

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

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)

Related Items (6)

On asymptotic models in Banach spaces ⋮ Unconditional structures of translates for \(L_p(\mathbb R^d)\) ⋮ The Banach spaces 𝐶(𝐾) and 𝐿^{𝑝}(𝜇)¹ ⋮ Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis ⋮ Systems formed by translates of one element in $L_{p}(\mathbb R)$ ⋮ Block bases of the Haar system as complemented subspaces of $L{\textunderscore }p$, $2<p<\infty $

Cites Work

• On subsequences of the Haar system in \(L_p [0,1\), \((1<p<\infty)\)]
• Contributions to the theory of the classical Banach spaces
• Unnamed Item

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