## Linear Operators: Spectral operators |

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Page 2257

point in o ( R ) , including zero , is contained in an arbitrarily small

point in o ( R ) , including zero , is contained in an arbitrarily small

**compact**set open in the relative topology of o ( R ) .Page 2357

Since , by Lemma 2.2 , each of these finite sums has a finite dimensional range and is hence

Since , by Lemma 2.2 , each of these finite sums has a finite dimensional range and is hence

**compact**, it follows from Lemma V1.5.3 that for v > 0 the ...Page 2462

is

is

**compact**. Put C = QR1 , and D = R2 , so that V = CD . The operator C is**compact**by Corollary VI.5.5 , and thus proof of Corollary 11 is complete .### 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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