## Linear Operators: Spectral theory |

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Page 1303

Clearly B ( A ) = 0 for those f which vanish in a

boundary value for ī at a . To prove the converse , let B be a boundary value at a .

Choose a function h in ( ' ( I ) which is identically equal to one in a

...

Clearly B ( A ) = 0 for those f which vanish in a

**neighborhood**of a . Thus B is aboundary value for ī at a . To prove the converse , let B be a boundary value at a .

Choose a function h in ( ' ( I ) which is identically equal to one in a

**neighborhood**...

Page 1678

Let ý be a second function in C 0 ( I ) such that ý ( x ) for x in a

. Then yo - yo vanishes in a

yo ...

Let ý be a second function in C 0 ( I ) such that ý ( x ) for x in a

**neighborhood**of Kı. Then yo - yo vanishes in a

**neighborhood**of K C ( F ) , and vanishes in a**neighborhood**of C ( F ) -K since y vanishes in the complement of K. Hence yo -yo ...

Page 1734

Let Uici , be a bounded

that there exists a mapping 9 of U , onto the unit spherical

origin such that ( i ) 9 is one - to - one , is infinitely often differentiable , and q - 1 ...

Let Uici , be a bounded

**neighborhood**of q chosen so small that BU , CE , and sothat there exists a mapping 9 of U , onto the unit spherical

**neighborhood**V of theorigin such that ( i ) 9 is one - to - one , is infinitely often differentiable , and q - 1 ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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