## Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |

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Page 2162

Thus , in view of

that T has property ( D ) . According to Lemma 10 condition ( D ) will be satisfied if

the points regular relative to T are dense on to . Thus Lemmas 12 , 13 , 14 give ...

Thus , in view of

**Theorem**4 . 5 , to prove the present**theorem**it suffices to showthat T has property ( D ) . According to Lemma 10 condition ( D ) will be satisfied if

the points regular relative to T are dense on to . Thus Lemmas 12 , 13 , 14 give ...

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21

be a function analytic in a domain U which , when taken together with a finite

number of exceptional points p , includes a neighborhood of o ( T ) and a ...

21

**THEOREM**. Let T be a spectral operator , and E its resolution of identity . Let fbe a function analytic in a domain U which , when taken together with a finite

number of exceptional points p , includes a neighborhood of o ( T ) and a ...

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space X and let B * be the Boolean algebra of adjoints in B * . Then a projection E

in B has finite uniform multiplicity n if and only if its adjoint E * in B * has finite ...

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**THEOREM**. Let B be a complete Boolean algebra of projections in a Banachspace X and let B * be the Boolean algebra of adjoints in B * . Then a projection E

in B has finite uniform multiplicity n if and only if its adjoint E * in B * has finite ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

47 other sections not shown

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