## 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 1928

Terminology and Preliminary Notions > The concepts of a Boolean algebra of

Terminology and Preliminary Notions > The concepts of a Boolean algebra of

**projections**, a spectral measure , an integral with respect to a spectral measure , and so on , which have been explained in Section X.1 , are all fundamental ...Page 2199

If the strongly closed bounded Boolean algebra B of

If the strongly closed bounded Boolean algebra B of

**projections**is not complete , there is , by the preceding lemma , a vector x and an increasing generalized sequence { Ex } of**projections**in B such that the limit lima Eqx does not ...Page 2218

Every operator in the weakly closed operator algebra generated by a spectral operator of scalar type and the

Every operator in the weakly closed operator algebra generated by a spectral operator of scalar type and the

**projections**in its resolution of the identity is a spectral operator of scalar type . PROOF . Since a spectral operator of ...### What people are saying - Write a review

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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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