## Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |

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Page 1915

... the quantum mechanical version of the three body problem , and other contemporary problems of mathematical physics to which the results of Chapter XX

... the quantum mechanical version of the three body problem , and other contemporary problems of mathematical physics to which the results of Chapter XX

**apply**, has a direct short path to these problems ; namely , Theorem XVI.5.19 ...Page 2409

We may therefore

We may therefore

**apply**Theorem 1 , to find that if A € A , and if || A || is sufficiently small , then the operator T and the operator T + q ( A ) are similar . Since T is obviously a spectral operator of scalar type , T + 2 ( A ) must ...Page 2434

**Applying**Theorem 8 and Corollary 9 , the present theorem follows at once . Q.E.D. By using appropriate “ diagonalizing " transformations ( cf. Theorem XII.3.16 ) , we may**apply**Theorem 21 to analyze a variety of operators .### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

47 other sections not shown

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