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Article . 1980 . Peer-reviewed
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Archiv der Mathematik
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Claim

A geometrical characterization of Schauder basis

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1980 Spain English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 39, pages 176-179 (issn: 0003-889X, eissn: 1420-8938, Copyright policy )
Authors: Reyes, A.;

doi: 10.1007/bf01899199 , 10.5565/publmat_21180_56

A geometrical characterization of Schauder basis

Abstract

Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the basis.

Country
Spain
Related Organizations
Keywords

Geometry and structure of normed linear spaces, Schauder basis, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, reflexive Banach space, M-basis

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selected citations
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BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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