## Linear Operators: Spectral theory |

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Page 990

A bounded measurable function qon R is in the Ly - closed linear subspace of Lo

( R ) which is

. Conversely , if y is in the Ly - closed linear manifold

A bounded measurable function qon R is in the Ly - closed linear subspace of Lo

( R ) which is

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

**determined**by the ...Page 1323

By symmetry ( Vis ) and ( Vis ) are also

conditions and the boundary conditions Ez ( K ) = 0 , i = 1 , ... , W , ( cf. Corollary 9

) . Q.E.D. A particularly important case arises if both T and T * are

By symmetry ( Vis ) and ( Vis ) are also

**determined**uniquely by the jumpconditions and the boundary conditions Ez ( K ) = 0 , i = 1 , ... , W , ( cf. Corollary 9

) . Q.E.D. A particularly important case arises if both T and T * are

**determined**by ...Page 1497

Let the eigenvalues

above be enumerated in increasing order , and repeated according to multiplicity

, be Po , P1 , P2 , ... , . Let the corresponding enumeration of the eigenvalues ...

Let the eigenvalues

**determined**by the periodic boundary conditions statedabove be enumerated in increasing order , and repeated according to multiplicity

, be Po , P1 , P2 , ... , . Let the corresponding enumeration of the eigenvalues ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Copyright | |

57 other sections not shown

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