Conditional Quasi-Greedy Bases in Non-superreflexive Banach Spaces

For a conditional quasi-greedy basis B in a Banach space, the associated conditionality constants k m [ B ] verify the estimate k m [ B ] = O ( log m ) . Answering a question raised by Temlyakov, Yang, and Ye, several authors have studied whether this bound can be improved when we consider quasi-gre...

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Bibliographic Details
Published in:	Constructive approximation Vol. 49; no. 1; pp. 103 - 122
Main Authors:	Albiac, Fernando, Ansorena, José L., Wojtaszczyk, Przemysław
Format:	Journal Article
Language:	English
Published:	New York Springer US 15.02.2019 Springer Nature B.V
Subjects:	Analysis Banach spaces Mathematics Mathematics and Statistics Numerical Analysis Cotype Reflexivity Finite representability Thresholding greedy algorithm Banach spaces Superreflexivity Conditional basis Type 46B15 Super property 41A65 Quasi-greedy basis Conditionality constants
ISSN:	0176-4276, 1432-0940
Online Access:	Get full text
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