Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces
F. Albiac ; J. L. Ansorena ; G. Garrigós ; E. Hernández ; M. Raja
Studia Mathematica, Tome 231 (2015), p. 133-140 / Harvested from The Polish Digital Mathematics Library
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We show that in a super-reflexive Banach space, the conditionality constants kN(ℬ) of a quasi-greedy basis ℬ grow at most like O((logN)1-ε) for some 0 < ε < 1. This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in Lp for 1 < p < ∞. We also give an example of a quasi-greedy basis ℬ in a reflexive Banach space with kN(ℬ)≈logN.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285579 
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     title = {Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces},
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     volume = {231},
     year = {2015},
     pages = {133-140},
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F. Albiac; J. L. Ansorena; G. Garrigós; E. Hernández; M. Raja. Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces. Studia Mathematica, Tome 231 (2015) pp. 133-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-3/