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math.FAFeb 20, 2009
4
citations (OpenAlex)
authors
  • Diana T. Stoeva
institutions
  • University of Architecture, Civil Engineering and Geodesy
arXiv abstractPDF
paper

Perturbation of frames in Banach spaces

arXiv:0902.3602 · doi:10.1142/S1793557112500118

Abstract

In this paper we consider perturbation of X_d-Bessel sequences, X_d-frames, Banach frames, atomic decompositions and X_d-Riesz bases in separable Banach spaces. Equivalence between some perturbation conditions is investigated.

References in corpus (2)

  • Basic definition and properties of Bessel multipliers
  • Multipliers for p-Bessel sequences in Banach spaces
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