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
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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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description	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.
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subjects	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
title	AN EXAMPLE OF AN ALMOST GREEDY BASIS IN L1(0,1)
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