## Linear Operators: Spectral operators |

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Page 1953

If T has a closed

If T has a closed

**range**, so does S. PROOF . The proof will be divided into two cases depending on whether the projection E ( { 0 } ) = 0 or not .Page 1954

Q.E.D. It was shown in the course of the preceding proof that for an operator T with a closed

Q.E.D. It was shown in the course of the preceding proof that for an operator T with a closed

**range**the point . = 0 is not in the spectrum of the operator V ...Page 2312

The closure of the

The closure of the

**range**of a densely defined linear operator T is the set of all x such that y * x = 0 whenever T * y * = 0 . PROOF .### 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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