## Linear Operators: Spectral theory |

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Page 990

A bounded measurable function 7 on R is in the L - closed linear subspace of L (

R ) which is

Conversely , if o is in the Ly - closed linear manifold

A bounded measurable function 7 on R is in the L - closed linear subspace of L (

R ) which is

**determined**by the characters in any neighborhood of its spectral set .Conversely , if o is in the Ly - closed linear manifold

**determined**by the ...Page 1321

The matrices l ' = ( y ) and I ' = ( ' s ) in the preceding theorem are uniquely

Proof . We have seen in the derivation of Theorem 8 that the functions & ; ( t ) and

Bi ( t ) ...

The matrices l ' = ( y ) and I ' = ( ' s ) in the preceding theorem are uniquely

**determined**by the jump equations and by the boundary conditions defining T .Proof . We have seen in the derivation of Theorem 8 that the functions & ; ( t ) and

Bi ( t ) ...

Page 1323

To

numbers an ( t ) and Bi ( t ) we have the n ... Thus ( Vis ) and ( vv ) are uniquely

= 1 ...

To

**determine**the u * + 0 * = ( p * + q * ) - ( u * + v * ) = ( n + k * ) - ( u * + 2 * )numbers an ( t ) and Bi ( t ) we have the n ... Thus ( Vis ) and ( vv ) are uniquely

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

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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