### Abstract

Perturbation theory is a fundamental tool in Banach space theory. However, the applications of the classical results are limited by the fact that they force the perturbed sequence to be equivalent to the given sequence. We will develop a more general perturbation theory that does not force equivalence of the sequences.

Original language | English |
---|---|

Journal | Canadian Mathematical Bulletin |

Volume | 51 |

Issue number | 3 |

Pages (from-to) | 348-358 |

ISSN | 0008-4395 |

Publication status | Published - 2008 |

## Cite this

Casazza, P. G., & Christensen, O. (2008). The reconstruction property in Banach spaces and a perturbation theorem.

*Canadian Mathematical Bulletin*,*51*(3), 348-358.