## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 1162

is isomorphic with the complex field , and it turns out that the

ideals of Ly ( R ) are in one - to - one correspondence with the points of Mo , i.e. ,

with all the maximal ideals of the algebra obtained by adjoining an identity to L (

R ) ...

is isomorphic with the complex field , and it turns out that the

**regular**maximalideals of Ly ( R ) are in one - to - one correspondence with the points of Mo , i.e. ,

with all the maximal ideals of the algebra obtained by adjoining an identity to L (

R ) ...

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The particular solution Fa ( s ) of this equation may be characterized as being

being

...

The particular solution Fa ( s ) of this equation may be characterized as being

**regular**and having the value 1 at zero , and F & ( 18 ) may be characterized asbeing

**regular**and having the value 1 at one . Let F. be the unique solution of the...

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( See Reflexivity )

equation ...

( See Reflexivity )

**Regular**closure , ( 462-463 )**Regular**convexity , ( 462 463 )**Regular**element in a B - algebra , IX.1.2 ( 861 )**Regular**element in a ring , ( 40 )**Regular**method of summability , II.4.35 ( 75 )**Regular**point of a differentialequation ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

### Common terms and phrases

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