AN EXAMPLE OF AN ALMOST GREEDY BASIS IN L1(0,1)

AN EXAMPLE OF AN ALMOST GREEDY BASIS IN L1(0,1)

We give an explicit construction of an almost greedy basis of L¹(0,1), complementing the results on existence of such a basis. The basis is described in terms of the Haar basis. We construct a quasi-greedy basis in a Banach space which is isomorphic to L¹(0,1), and then we calculate an isomorphic im...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2010-04, Vol.138 (4), p.1425-1432
1. Verfasser: GOGYAN, SMBAT
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach space
Exact sciences and technology
Functional analysis
General mathematics
General, history and biography
Greedy algorithms
Mathematical analysis
Mathematical constants
Mathematical theorems
Mathematics
Sciences and techniques of general use
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Zusammenfassung:We give an explicit construction of an almost greedy basis of L¹(0,1), complementing the results on existence of such a basis. The basis is described in terms of the Haar basis. We construct a quasi-greedy basis in a Banach space which is isomorphic to L¹(0,1), and then we calculate an isomorphic image of a quasi-greedy basis.
ISSN:0002-9939
1088-6826