6533b7d5fe1ef96bd1263e52
RESEARCH PRODUCT
Characterization of greedy bases in Banach spaces
Oscar BlascoPablo M. Bernásubject
Numerical AnalysisPure mathematicsProperty (philosophy)Basis (linear algebra)Applied MathematicsGeneral Mathematics010102 general mathematicsBanach space010103 numerical & computational mathematicsCharacterization (mathematics)01 natural sciencesLinear subspaceFunctional Analysis (math.FA)Mathematics - Functional AnalysisFOS: MathematicsProperty a0101 mathematicsAnalysisMathematicsdescription
Abstract 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-01 |