## Linear Operators: Spectral theory |

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Page 1020

basis di ( aij ) be the

, ... , 0 ] , ... , on 0 ] , ... , Sn = [ 0 , ... , 0 , 1 ] . Let Ais denote the cofactor of the

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

basis di ( aij ) be the

**matrix**of an operator A in En relative to the orthonormal [ 1,0, ... , 0 ] , ... , on 0 ] , ... , Sn = [ 0 , ... , 0 , 1 ] . Let Ais denote the cofactor of the

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

**matrix**...Page 1275

Jacobi

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

, j , k 2 0 , is said to be a Jacobi

1 .

Jacobi

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

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

**matrix**if ара all p , q , ( i ) ( ii ) āgp 0 , ара Ip - 91 >1 .

Page 1338

Let { uis } be a positive

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

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

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Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

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