The Weak Chebyshev X-Greedy Algorithm in the unweighted Bergman space

S. J. Dilworth, Denka Kutzarova, Karen L. Shuman

Research output: Contribution to journalArticlepeer-review

Abstract

We study a greedy algorithm called the Weak Chebyshev X-Greedy Algorithm (WCXGA) and investigate its application to unweighted Bergman spaces. We first show that the WCXGA converges for a wide class of real and complex Banach spaces and dictionaries. We then prove that certain Bergman spaces and their holomorphic monomial dictionaries belong to the class of Banach spaces for which the WCXGA converges.

Original languageEnglish (US)
Pages (from-to)692-706
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume318
Issue number2
DOIs
StatePublished - Jun 15 2006

Keywords

  • Bergman space
  • Greedy algorithm

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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