## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 80

Page 878

Clearly the requirement that x and g ( u ) = u be

Clearly the requirement that x and g ( u ) = u be

**corresponding**elements determines the * -isomorphism uniquely and we are thus led to the following definition . 12 DEFINITION . Let x be an element of a commutative B * -algebra and let ...Page 942

Thus every eigenfunction of T , which

Thus every eigenfunction of T , which

**corresponds**to a non - zero eigenvalue is a finite dimensional a continuous function . Hence N is orthogonal to every eigenfunction of T , except to those**corresponding**to 2 = 0.Page 1729

TT It should be evident from this last formula that much as in the

TT It should be evident from this last formula that much as in the

**corresponding**case of the space 0.9 ° ( C ) , we may regard any point x = ( x , y ) for which 0 < x < 27 as belonging , in a suitable sense , to the interior of C ...### What people are saying - Write a review

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

### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

13 other sections not shown

### Other editions - View all

### Common terms and phrases

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