## Linear Operators: Spectral theory |

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Page 1469

Thus

( b ) then follows immediately from the preceding lemma . Q . E . D . Next we turn

...

Thus

**statement**( a ) follows immediately from the preceding lemma . To prove**statement**( b ) , note that t is finite below 2o , but not below any 2 > ho .**Statement**( b ) then follows immediately from the preceding lemma . Q . E . D . Next we turn

...

Page 1653

20 and Fin H ( + 1 ) ( I ) , ( cf . Definition 15 ( i ) ) . To prove ( ii ) and the final

i ) .

**Statement**( iii ) follows from**statement**( ii ) and the fact that Flu + 1 2 Flu ) for all k20 and Fin H ( + 1 ) ( I ) , ( cf . Definition 15 ( i ) ) . 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 | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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