Characterization of greedy bases in Banach spaces

We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the basis. We also introduce a new property that unifies the notions of unconditionality and democracy and allows us to recover...

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Bibliographic Details
Published in:Journal of approximation theory Vol. 215; pp. 28 - 39
Main Authors: Berná, Pablo M., Blasco, Óscar
Format: Journal Article
Language:English
Published: Elsevier Inc 01.03.2017
Subjects:
Property (A)
Thresholding greedy algorithm
Unconditional basis
46B15
Thresholding greedy algorithm
Unconditional basis
Property (A)
41A65
ISSN:0021-9045, 1096-0430
Online Access:Get full text
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Summary:We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the basis. We also introduce a new property that unifies the notions of unconditionality and democracy and allows us to recover a better dependence on the constants.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2016.11.008