## Linear Operators: Spectral operators |

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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 ...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 ...Page 2300

Then , since the collection of finite sums of

Then , since the collection of finite sums of

**projections**Ean ; T ' ) is uniformly bounded , it is clear from [ * ] that the collection of finite sums of**projections**Elun ; T + P ) , n 2 K , is uniformly bounded .### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

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