## 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 |

### From inside the book

Results 1-3 of 76

Page 1909

We thought ( and still think ) that this

We thought ( and still think ) that this

**theory**forms an excellent introduction to the detailed study of the much more refined and complete**theory**of self ...Page 2112

which cover C. ( iii ) The operator T admits a duality

which cover C. ( iii ) The operator T admits a duality

**theory**of type 3 if for arbitrary open sets G1 , ... , Gin which cover the complex plane , there ...Page 2227

Introduction It was wn in the course of Chapters XII , XIII , and XIV that in order to apply the spectral

Introduction It was wn in the course of Chapters XII , XIII , and XIV that in order to apply the spectral

**theory**of Hermitian operators to ordinary and ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

28 other sections not shown

### Other editions - View all

### Common terms and phrases

adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero