## Linear Operators, Part 2 |

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Page 1021

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

of the lemma is equivalent to the

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

Nelson Dunford, Jacob T. Schwartz. 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 ...

Page 1463

) is an evident consequence of

by the pair of functions sin it and sin ut for u > ; the corollary by the pair of ...

**Statement**( a ) is the special case T = Tg of the preceding theorem .**Statement**( b) is an evident consequence of

**statement**( a ) . Q.E.D. The theorem is illustratedby the pair of functions sin it and sin ut for u > ; the corollary by the pair of ...

Page 1771

... that lim ( u ( t , • ) -1 ( • ) | = 0 . t0 PROOF .

preceding theorem and Theorem 6.23 .

of the preceding theorem , since a function satisfying the hypotheses of the

present ...

... that lim ( u ( t , • ) -1 ( • ) | = 0 . t0 PROOF .

**Statement**( i ) follows from thepreceding theorem and Theorem 6.23 .

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

present ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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