## Linear Operators: Spectral theory |

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Page 1087

S , E , u ) and Lp . ( S , , u ) . ... 53 Let the hypotheses of Exercise 50 be satisfied ,

and

**Suppose**that for pz , p , in 1 , T . , and T . always agree on the intersection of Lp , (S , E , u ) and Lp . ( S , , u ) . ... 53 Let the hypotheses of Exercise 50 be satisfied ,

and

**suppose**in addition that the number 2 is in I and that T , is Hermitian .Page 1144

is contained in an angular sector of opening less than a p . Let N > 0 be an

integer , and

0 ...

**Suppose**that each of the s regions into which the plane is divided by these arcsis contained in an angular sector of opening less than a p . Let N > 0 be an

integer , and

**suppose**that the resolvent of T satisfies the inequality | R ( 2 ; T ) ) =0 ...

Page 1602

( 47 ) In [ 0 , 0 ) ,

independent solutions f and g such that Só \ t ( s ) 2 ds = 0 ( 82 ) and Solgo ( s ) /

2 ds = O ( t2 ) . Then the point 2 belongs to the essential spectrum of 7 ( Hartman

and ...

( 47 ) In [ 0 , 0 ) ,

**suppose**that the equation ( 2 - 1 ) } = 0 has two linearlyindependent solutions f and g such that Só \ t ( s ) 2 ds = 0 ( 82 ) and Solgo ( s ) /

2 ds = O ( t2 ) . Then the point 2 belongs to the essential spectrum of 7 ( Hartman

and ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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