## Linear Operators: Spectral theory |

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Page 864

By Lemma 5 , x ( 2 ) is analytic on p ( x ) and

By Lemma 5 , x ( 2 ) is analytic on p ( x ) and

**hence**, for r * eX * , the scalar valued analytic function x * r ( 2 ) has its singularities all in the disc 121 5 10 ( x ) ] . Thus the series x * x ( 2 ) = { n - ox * r " ] 2n + 1 ...Page 1249

Let x , v E M , the initial domain of P. Then the identity ( x +32 = Px + Pv2 shows that ( x , v ) + ( v , x ) ( Px , Pv ) + ( Pv , Px ) .

Let x , v E M , the initial domain of P. Then the identity ( x +32 = Px + Pv2 shows that ( x , v ) + ( v , x ) ( Px , Pv ) + ( Pv , Px ) .

**Hence**R ( x , v ) = R ( Px , Pub Since I ( x , v ) = R ( x , iv ) , it follows that ( x ...Page 1418

-9ı ( a ) fı ( a ) < -92 ( a ) f2 ( a ) = f ' ( a ) ; that is , for t sufficiently near a , ti ( t ) — + 1 ( a ) < t'a ( t ) - [ z ( a ) t - a t - a and

-9ı ( a ) fı ( a ) < -92 ( a ) f2 ( a ) = f ' ( a ) ; that is , for t sufficiently near a , ti ( t ) — + 1 ( a ) < t'a ( t ) - [ z ( a ) t - a t - a and

**hence**fi ( t ) = f ( t ) . Since f ( a ) 12 ( a ) , it clearly follows that fi ( t ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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