## Abstract

Given the distance of a contraction A to the kernel of a intertwining relation we estimate the minimal distance of contractive liftings of A to the kernel of the lifted intertwining relation. We also present a related optimality result which involves the inequality ||F|| ≤ ||F - λX||, where F and X are given operators and λ is an arbitrary complex number.

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

Pages (from-to) | 71-89 |

Journal | Integral Equations and Operator Theory |

Volume | 47 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2003 |