## Linear Operators, Part 2 |

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Page 1021

preceding remarks that the final conclusion of the lemma is equivalent to the

since W is unitary , det ( A ) = det ( W - 1 AW ) and ( A - 1x , y ) = ( A - 1 Won , y ) =

( W - 1 ...

preceding remarks that the final conclusion of the lemma is equivalent to the

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

( W - 1 ...

Page 1756

Hence we find that if \ yl < r , fly ) = 0 , and

uniqueness of the function V of the theorem is an evident consequence of

existence ...

Hence we find that if \ yl < r , fly ) = 0 , and

**statement**( i ) is fully proved . ( B ) Theuniqueness 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 ...

Page 1771

... 0 . t > 0 , 62 , to PROOF .

Theorem 6 . 23 .

theorem , since a function satisfying the hypotheses of the present

... 0 . t > 0 , 62 , to PROOF .

**Statement**( i ) follows from the preceding theorem andTheorem 6 . 23 .

**Statement**( ii ) follows from**statement**( ii ) of the precedingtheorem , since a function satisfying the hypotheses of the present

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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