## 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 73

Page 2377

Quite typically , an operator of the form - V + V ( x ) is treated as a

Quite typically , an operator of the form - V + V ( x ) is treated as a

**perturbation**of the operators –V ; an operator of the form -V ; д 2 д 2 - ) - + V ( x1 , x2 , x3 ) + V ( x4 , X5 , X6 ) axi Oxo ) + V ( 2-2 , , 2 - 35 , , -6 ) as a ...Page 2510

Various of the

Various of the

**perturbation**- theoretic ideas touched on explicitly or by indirection in the present chapter are developed systematically by T. Kato in his treatise [ 13 ] . This treatise also contains an extensive bibliography of ...Page 2530

**Perturbation**of spectra in Hilbert space . Lectures in Applied Math . , Vol . III , Amer . Math . Soc . , Providence , R. I. , 1965 . 18. Spectral**perturbation**phenomena .**Perturbation**Theory and its Applications in Quantum Mechanics ...### 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 | |

31 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 contained continuous converges Corollary corresponding defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension finite follows formal formula function given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear 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