## Linear Operators: Spectral theory |

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Page 1321

9 COROLLARY . The matrices I = ( y ) and I " = ( vi ) in the preceding theorem are

uniquely

defining T . Proof . We have seen in the derivation of Theorem 8 that the functions

a ...

9 COROLLARY . The matrices I = ( y ) and I " = ( vi ) in the preceding theorem are

uniquely

**determined**by the jump equations and by the boundary conditionsdefining T . Proof . We have seen in the derivation of Theorem 8 that the functions

a ...

Page 1323

To

numbers ai ( t ) and Bi ( t ) we have the n jump ... ( Vis ) are uniquely

by the jump conditions and by the boundary conditions E * ( K ) = 0 , i = 1 , . . . , w

* .

To

**determine**the u * + v * = ( p * + q * ) - ( u * + v * ) = ( n + k * ) - ( u * + v * )numbers ai ( t ) and Bi ( t ) we have the n jump ... ( Vis ) are uniquely

**determined**by the jump conditions and by the boundary conditions E * ( K ) = 0 , i = 1 , . . . , w

* .

Page 1497

2 , these sets of boundary conditions

whose spectra ... Let the eigenvalues

conditions stated above be enumerated in increasing order , and repeated

according ...

2 , these sets of boundary conditions

**determine**self adjoint operators T , and T ,whose spectra ... Let the eigenvalues

**determined**by the periodic boundaryconditions stated above be enumerated in increasing order , and repeated

according ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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