## Linear Operators: Spectral operators |

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We then use this inequality to

We then use this inequality to

**apply**Theorem 1 in an illustrative but somewhat artificial setting , essentially to ... A first**application**( Theorem 6 ) is made in this way , and immediately following upon this we develop a similar but ...Page 2413

Q.E.D. Theorem 1 and its corollaries are readily generalized to

Q.E.D. Theorem 1 and its corollaries are readily generalized to

**apply**to unbounded operators . 8 THEOREM . Let X be a B - space , and let T be a closed , densely defined operator in X , with domain D ( T ) .Page 2434

**Applying**Theorem 8 and Corollary 9 , the present theorem follows at once . Q.E.D. By using appropriate " diagonalizing " transformations ( cf. Theorem XII.3.16 ) , we may**apply**Theorem 21 to analyze a variety of operators .### 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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