## Linear Operators, Part 2 |

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Page 1187

The inverse of a

The inverse of a

**closed**operator is**closed**. A bounded operator is**closed**if and only if its domain is**closed**. Proof . If A , is the isometric automorphism in Hy which maps ( x , y ] into [ y , x ] then I ( T - 1 ) = A I ( T ) which ...Page 1393

Let T be a

Let T be a

**closed**operator in Hilbert space . Then the set of complex numbers 1 such that the range of 1 - T is not**closed**is called the essential spectrum of T and is denoted by 0 , ( T ) . It is clear that oe ( T ) Co ( T ) .Page 1902

... ( 227 ) for functions of an operator , in a finite dimensional space , VII.1.10 ( 560 ) in general space , VII.3.9 ( 568 ) remarks on , ( 607-609 ) , ( 612 ) for unbounded

... ( 227 ) for functions of an operator , in a finite dimensional space , VII.1.10 ( 560 ) in general space , VII.3.9 ( 568 ) remarks on , ( 607-609 ) , ( 612 ) for unbounded

**closed**operators , VII.9.4 ( 601 ) Cauchy integral theorem ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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