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