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Best simultaneous approximation to totally bounded sequences in Banach spaces

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Publication:944078
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DOI10.1007/s10114-007-6575-0zbMath1157.41004OpenAlexW2066410967MaRDI QIDQ944078

Xian Fa Luo, Chong Li, Genaro López-Acedo

Publication date: 12 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/49242


zbMATH Keywords

uniquenesscharacterizationuniform smoothnessBest simultaneous approximation


Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach sequence spaces (46B45)


Related Items

On nonlinear simultaneous approximation problems



Cites Work

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  • Geometry of Banach spaces. Selected topics
  • On nonlinear simultaneous Chebyshev approximation problems.
  • Uniqueness in vector-valued approximation
  • Simultaneous approximation from convex sets
  • A class of best simultaneous approximation problems
  • Best simultaneous approximation of an infinite set of functions
  • Nonlinear weighted best simultaneous approximation in Banach spaces
  • Simultaneous Chebyshev Approximation of Functions on an Interval
  • A characterization of best simultaneous approximations
  • On best simultaneous approximation
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