## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 87

Page 1020

basis 8 ik ( ais ) be the

, 0 , 0 ] , .. on [ 0 , ... , 0 , 1 ] . Let A jy denote the cofactor of the element dij , i.e. , Aij

is ( -1 ) + i times the determinant of the ( n - 1 ) ( n - 1 )

basis 8 ik ( ais ) be the

**matrix**of an operator A in En relative to the orthonormal [ 1, 0 , 0 ] , .. on [ 0 , ... , 0 , 1 ] . Let A jy denote the cofactor of the element dij , i.e. , Aij

is ( -1 ) + i times the determinant of the ( n - 1 ) ( n - 1 )

**matrix**obtained by ...Page 1275

Jacobi

problem made in Section 8 can be carried ... An infinite

said to be a Jacobi

a ...

Jacobi

**Matrices**and the Moment Problem The investigations of the momentproblem made in Section 8 can be carried ... An infinite

**matrix**{ ajk } , j , k 2 0 , issaid to be a Jacobi

**matrix**if all p , q , ( i ) ( ii ) Apa = āor , ара 0 , Ip - 91 > 1 . Sucha ...

Page 1338

Let { M is } be a positive

respect to a positive o - finite measure u . If the

defined by the equations Mijle ) = S. m.:(2)u(da ) , where e is any bounded Borel

set ...

Let { M is } be a positive

**matrix**measure whose elements Mis are continuous withrespect to a positive o - finite measure u . If the

**matrix**of densities { mis } isdefined by the equations Mijle ) = S. m.:(2)u(da ) , where e is any bounded Borel

set ...

### 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 | |

11 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 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero