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An example of an almost greedy basis in 
Author(s):
Smbat
Gogyan
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1425-1432.
MSC (2000):
Primary 42C30
Posted:
November 12, 2009
MathSciNet review:
2578535
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Abstract:
We give an explicit construction of an almost greedy basis of  , 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  , and then we calculate an isomorphic image of a quasi-greedy basis.
References:
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MSC (2000):
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Additional Information:
Smbat
Gogyan
Affiliation:
Institute of Mathematics, National Academy of Sciences, 24B Marshal Baghramian Avenue, 0019 Yerevan, Armenia
DOI:
10.1090/S0002-9939-09-10169-7
PII:
S 0002-9939(09)10169-7
Keywords:
Haar system,
greedy algorithm,
quasi-greedy,
almost greedy,
$L^1(0,1)$.
Received by editor(s):
April 19, 2009,
Received by editor(s) in revised form:
August 14, 2009
Posted:
November 12, 2009
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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