## Linear Operators: Spectral theory |

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Page 1021

Nelson Dunford, Jacob T. Schwartz. preceding remarks that the final conclusion

of the lemma is equivalent to the

- 1 ( n - 1 ) - ( n - 1 ) / 2 . Now , since W is unitary , det ( A ) = det ( W - 1 AW ) and ...

Nelson Dunford, Jacob T. Schwartz. preceding remarks that the final conclusion

of the lemma is equivalent to the

**statement**that det ( A ) ( A - 1 x , y ) = \ y | | | A | | *- 1 ( n - 1 ) - ( n - 1 ) / 2 . Now , since W is unitary , det ( A ) = det ( W - 1 AW ) and ...

Page 1653

all k 20 and Fin H ( k + 1 ) ( I ) , ( cf . Definition ... To prove ( ii ) and the final

i ) .

**Statement**( iii ) follows from**statement**( ii ) and the fact that | Flux + 1 ) 2F \ x ) forall k 20 and Fin H ( k + 1 ) ( I ) , ( cf . Definition ... To prove ( ii ) and the final

**statement**of the lemma , we first note that it is evident for k 2 0 from Definition 15 (i ) .

Page 1756

( B ) The uniqueness of the function V of the theorem is an evident consequence

of

existence of the function V to the proof of the following

...

( B ) The uniqueness of the function V of the theorem is an evident consequence

of

**statement**( i ) . Moreover ,**statement**( i ) enables us to reduce the proof of theexistence of the function V to the proof of the following

**statement**. ( ii ) For each r...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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