## Linear Operators, Part 2 |

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Page 1092

Nelson Dunford, Jacob T. Schwartz. 6 LEMMA . Let T be a compact operator ,

and 2n ( T ) an enumeration of its eigenvalues , repeated according to multiplicity

, and in decreasing order of absolute values . ( If there are only a

of ...

Nelson Dunford, Jacob T. Schwartz. 6 LEMMA . Let T be a compact operator ,

and 2n ( T ) an enumeration of its eigenvalues , repeated according to multiplicity

, and in decreasing order of absolute values . ( If there are only a

**finite**number Nof ...

Page 1147

COROLLARY : If G is a compact topological group satisfying the second axiom of

countability , and G is not a

G is countable . A complete set of representations of a

COROLLARY : If G is a compact topological group satisfying the second axiom of

countability , and G is not a

**finite**set , then any complete set of representations ofG is countable . A complete set of representations of a

**finite**group is**finite**.Page 1460

Then , if r is

, is

that 2 = 0 . By Corollary 24 ( b ) , Corollary XII . 4 . 13 , and Corollary 26 , To ( t ) ...

Then , if r is

**finite**below 2 , and the leading coefficient of ott , never vanishes , t + t, is

**finite**below 2 . Proof . It is clear that we may suppose without loss of generalitythat 2 = 0 . By Corollary 24 ( b ) , Corollary XII . 4 . 13 , and Corollary 26 , To ( t ) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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