## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 57

Page 1629

CHAPTER XIV Linear Partial

The Cauchy Problem, Local Dependence In this chapter, we shall discuss a

variety of theorems having to do with linear partial differential operators. Since

the ...

CHAPTER XIV Linear Partial

**Differential Equations**and Operators 1. IntroductionThe Cauchy Problem, Local Dependence In this chapter, we shall discuss a

variety of theorems having to do with linear partial differential operators. Since

the ...

Page 1792

Boundary value and expansion problems of ordinary linear

Trans. Amer. Math. Soc. 9, 373–395 (1908). 4. Eristence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259–270 ...

Boundary value and expansion problems of ordinary linear

**differential equations**.Trans. Amer. Math. Soc. 9, 373–395 (1908). 4. Eristence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259–270 ...

Page 1817

On the essential spectra of ordinary

–838 (1954). Hartman, P., and Putnam, C. 1. 2. The least cluster point of the

spectrum of boundary value problems. Amer. J. Math. 70, 847–855 (1948). The

gaps ...

On the essential spectra of ordinary

**differential equations**. Amer. J. Math. 76, 831–838 (1954). Hartman, P., and Putnam, C. 1. 2. The least cluster point of the

spectrum of boundary value problems. Amer. J. Math. 70, 847–855 (1948). The

gaps ...

### What people are saying - Write a review

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

### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

48 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

additive adjoint adjoint operator algebra analytic assume B-algebra basis belongs Borel set boundary conditions boundary values bounded called clear closed closure coefficients commutative compact complex Consequently consider constant contains converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension fact finite follows formal differential operator formula function function f given Hence Hilbert space ideal identity independent indices inequality integral interval isometric isomorphism Lemma linear mapping matrix measure multiplicity neighborhood norm normal operator obtained positive preceding present projection proof properties prove range regular representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique unit vanishes vector zero