## Linear Operators: Spectral theory |

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Results 1-3 of 87

Page 1020

( au ) be the

, 0 , . . . , 0 ] , . . . , On = [ 0 , . . . , 0 , 1 ] . Let Ais denote the cofactor of the element

aij , i . e . , Ais is ( - 1 ) i + j times the determinant of the ( n - 1 ) × ( n - 1 )

( au ) be the

**matrix**of an operator A in En relative to the orthonormal basis di = ( 1, 0 , . . . , 0 ] , . . . , On = [ 0 , . . . , 0 , 1 ] . Let Ais denote the cofactor of the element

aij , i . e . , Ais is ( - 1 ) i + j times the determinant of the ( n - 1 ) × ( n - 1 )

**matrix**...Page 1275

Jacobi

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

said to be a Jacobi

Such 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 20 , issaid to be a Jacobi

**matrix**if ( i ) ( ii ) 2 . pa = āap , Apa = 0 , all p , q , P - 91 > 1 .Such a ...

Page 1338

Let { uis } be a positive

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

by the equations Mile ) = 5 . m ; ( 2 ) u ( da ) , where e is any bounded Borel set ...

Let { uis } be a positive

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

**matrix**of densities { mij } is definedby the equations Mile ) = 5 . m ; ( 2 ) u ( da ) , where e is any bounded Borel set ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

37 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 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 differential equations 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 neighborhood norm obtained partial positive preceding present problem Proc 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