## Linear Operators: Spectral theory |

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( aij ) be the

( aij ) be the

**matrix**of an operator A in E “ relative to the orthonormal basis & , = ( 1 , 0 , ... , 0 ] , ... , on = [ 0 , ... , 0 , 1 ] .Page 1275

Jacobi

Jacobi

**Matrices**and the Moment Problem The investigations of the moment ... An infinite**matrix**{ ajk } , j , k 2 0 , is said to be a Jacobi**matrix**if ( i ) ...Page 1338

Let { Mis } be a positive

Let { Mis } be a positive

**matrix**measure whose elements Mij are continuous with respect to a positive o - finite measure u . If the**matrix**of densities { m } ...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives 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 Nauk 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