Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean

Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean Strongly absolute bases are, roughly speaking, purely nonlocally convex bases in quasi-Banach spaces. When, in addition, they are unconditional then the discrete lattice structure they induce in the space is lattice anti-Euclidean. In this brief note we characterize the complemented unconditional basic sequences in those quasi-Banach spaces with strongly absolute unconditional basis, and use this result to derive the uniqueness of unconditional basis in many classical quasi-Banach spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean

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Publisher
SP Birkhäuser Verlag Basel
Copyright
Copyright © 2010 by Birkhäuser / Springer Basel AG
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-010-0055-y
Publisher site
See Article on Publisher Site

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