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Unconditional bases in lp⊕lq, 0 p q < 1

✍ Scribed by Augustyn Ortynski

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
382 KB
Volume
103
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We prove that every unconditional basis of l~p~⊕l~q~ (0 < p < q < 1) is a disjoint union of two subsequences which span subspaces isomorphic to l~p~ and l~q~ respectively. This is an extension of a similar result of EDELSTEIN and WOJTASZCZYK [3] for 1 ≦ p < q <∞.

📜 SIMILAR VOLUMES

On spline bases in periodic Hardy spaces
On spline bases in periodic Hardy spaces (0 p ⩽ 1)
✍ P. Oswald 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 459 KB

In the present paper we consider periodic spline systems in order to obtain SCHAUDEB bases for the real HARDY spaces Hp(T) (0 < p 5 1) defined on the one-dimensional torus T . In a recent note [la] we have shown that the periodic FFLANKLIN system forms a basis in H J T ) if 112 < p < 1. Obviously,