## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 77

Page 1162

... i.e. , with all the maximal ideals of the algebra

... i.e. , with all the maximal ideals of the algebra

**obtained**by adjoining an identity to Ly ( R ) except the point at infinity of M. Now in an algebra with identity every ideal is contained in a maximal ideal , but if an identity is ...Page 1318

ol Suppose that the homogeneous system

ol Suppose that the homogeneous system

**obtained**from equations [ l ' ] and [ 2 ' ) has a non - trivial solution & ( C ) , Po ( c ) , and let K. ( - ) be the function ( of the variable s )**obtained**by substituting and po for d ; and Pi ...Page 1624

In the same way , the functions cos tvā

In the same way , the functions cos tvā

**obtained**from the operator To enjoy the property focos 8V7 . cos tvõu ( da ) = 0 , $ = t . Making use of these relations , Gelfand and Levitan attempt to reconstruct the functions | ( 1,2 ) by ...### What people are saying - Write a review

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

### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

44 other sections not shown

### Other editions - View all

### Common terms and phrases

additive adjoint operator 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 function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero