## Linear Operators: Spectral theory |

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Page 1020

( aii ) be the

( aii ) be the

**matrix**of an operator A in En relative to the orthonormal basis de = ( 1 , 0 , ... , 0 ] , ... , dn ( 0 , ... , 0 , 1 ] . Let Ai , denote the cofactor of the element aij , i.e. , A ij is ( -1 ) i + i times the determinant ...Page 1275

Jacobi

Jacobi

**Matrices**and the Moment Problem The investigations of the moment problem made in Section 8 can be carried ... An infinite**matrix**{ ajk ) , j , k 2 0 , is said to be a Jacobi**matrix**if O pa all p , q , ( i ) ( ii ) āap ' 0 ...Page 1338

Let { M is } be a positive

Let { M is } be a positive

**matrix**measure whose elements Mis are continuous with respect to a positive o - finite measure u . If the**matrix**of densities { m ;; } is defined by the equations Misle ) = 5.9 . , ( 1 ) u ( da ) , where e is ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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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