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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An example of an almost greedy basis in $L^1(0,1)$
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by Smbat Gogyan PDF
Proc. Amer. Math. Soc. 138 (2010), 1425-1432 Request permission

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.
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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