## Linear Operators: General theory |

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Page 271

Hence we have

Hence we have

**shown**that there exists ni , . ... , No 2 no such that min \ | ( sn , ) - 1 ( so ) < E , feF . 1SiST - which proves the quasi - uniform convergence of f ( sn ) to f ( so ) . Thus ( 3 ) implies ( 4 ) .Page 291

the closed subspace L ( E ) = L ( E , E ( E ) , u ) of L ( S , E , u ) consisting of all functions vanishing outside E. If we can find an feLi ( E ) to which { fr } converges weakly , we will have

the closed subspace L ( E ) = L ( E , E ( E ) , u ) of L ( S , E , u ) consisting of all functions vanishing outside E. If we can find an feLi ( E ) to which { fr } converges weakly , we will have

**shown**that L , is weakly complete .Page 684

The Ergodic Theory of Continuous Flows In Section 4 it was

The Ergodic Theory of Continuous Flows In Section 4 it was

**shown**how the ergodic hypothesis in classical statistical mechanics has led to questions involving averages of a particular one parameter semi - group of unitary operators .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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