## Linear Operators: Spectral theory |

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Page 1092

6 LEMMA . Let T be a compact operator , and an ( T ) an enumeration of its

eigenvalues , repeated according to multiplicity , and in decreasing order of

absolute values . ( If there are only a

we write ...

6 LEMMA . Let T be a compact operator , and an ( T ) an enumeration of its

eigenvalues , repeated according to multiplicity , and in decreasing order of

absolute values . ( If there are only a

**finite**number N of non - zero eigenvalues ,we write ...

Page 1460

Then , ife is

is

generality that a = 0 . By Corollary 24 ( b ) , Corollary X11 . 4 . 13 , and Corollary

26 , To ...

Then , ife is

**finite**below h , and the leading coefficient of ttty never vanishes , tttyis

**finite**below 2 . PROOF . It is clear that we may suppose without loss ofgenerality that a = 0 . By Corollary 24 ( b ) , Corollary X11 . 4 . 13 , and Corollary

26 , To ...

Page 1913

3 ( 186 ) of

6 . 1 ( 18 ) invariant , in a linear space , II . 1 . 10 ( 51 ) in a group , ( 90 – 91 ) ...

3 ( 186 ) of

**finite**number of o -**finite**measure spaces , ( 188 ) of infinite number of**finite**measure spaces , III . 11 . 21 ( 205 ) o -**finite**, III . 5 . 7 ( 136 ) Metric ( s ) , 1 .6 . 1 ( 18 ) invariant , in a linear space , II . 1 . 10 ( 51 ) in a group , ( 90 – 91 ) ...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

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