## 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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Results 1-3 of 86

Page 1955

We shall be concerned with the fine structure of the

points of an operator in X will be classified , as they were in Hilbert space ,

according to the following definition . + 1 DEFINITION . Let A be a bounded linear

...

We shall be concerned with the fine structure of the

**spectrum**, and the spectralpoints of an operator in X will be classified , as they were in Hilbert space ,

according to the following definition . + 1 DEFINITION . Let A be a bounded linear

...

Page 1957

Thus , by the preceding corollary , we have O ( S ) Şo ( To ) , and so to prove the

present corollary , it suffices to prove that is in the continuous

( S – 11 ) x = 0 , where x is in E ( 0 ) X . Since S and T have the same resolution ...

Thus , by the preceding corollary , we have O ( S ) Şo ( To ) , and so to prove the

present corollary , it suffices to prove that is in the continuous

**spectrum**of S . . Let( S – 11 ) x = 0 , where x is in E ( 0 ) X . Since S and T have the same resolution ...

Page 2591

2 (1930) Spectral set for an operator, XV.2 (1930)

operator, XV.8 (1954) condition to be in point

continuous

15.38, XV. 15.

2 (1930) Spectral set for an operator, XV.2 (1930)

**Spectrum**, of a spectraloperator, XV.8 (1954) condition to be in point

**spectrum**, XV.15.13 (2076)continuous

**spectrum**, definition of, XV.8.1 (1955) examples of, XV.15.37, XV.15.38, XV. 15.

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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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