## Abstract

T was proved by R. Wittmann [2] that, given a positive linear contraction of L^{p} (1 ≤ p ≤ ∞), sup_{∥f∥≤1} lim_{n⟶∞}∥T^{n} f − T^{n+1} f∥ is either ≥ α_{p} or 0; the (best possible) value of α_{p} is the l_{p}-norm of a certain 3×3 matrix. In this paper α_{p} is explicitly expressed as a function of p.

Original language | English |
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Pages (from-to) | 95-97 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 114 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 1992 |

## Keywords

- Linear contraction
- Positive contraction
- “Zero-two” law

## ASJC Scopus subject areas

- Mathematics (all)
- Applied Mathematics

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