Convergence of Some Greedy Algorithms in Banach Spaces

@article{Dilworth2002ConvergenceOS,
  title={Convergence of Some Greedy Algorithms in Banach Spaces
},
  author={Stephen J. Dilworth and Denka Kutzarova and Vladimir N. Temlyakov},
  journal={Journal of Fourier Analysis and Applications},
  year={2002},
  volume={8},
  pages={489-506}
}
We consider some theoretical greedy algorithms for approximation in Banach spaces with respect to a general dictionary. We prove convergence of the algorithms for Banach spaces which satisfy certain smoothness assumptions. We compare the algorithms and their rates of convergence when the Banach space is Lp(T) (1 < p < ∞) and the dictionary is the trigonometric system. 
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