## Linear Operators: Spectral theory |

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Page 1087

**Suppose**that for pı , p , in 1 , T . ,, and 7 , always agree on the intersection of L , ( S , E , u ) and Lp , ( S , E , \ ) . Prove that log lo { T , ) is a convex function of p . 51 Let the hypotheses of Exercise 50 be satisfied .Page 1144

**Suppose**that each of the s regions into which the plane is divided by these arcs is contained in an angular sector of opening less than a p . Let N > O be an integer , and**suppose**that the resolvent of T satisfies the inequality R ( 2 ...Page 1602

( 47 ) In 0 , 0 ) ,

( 47 ) In 0 , 0 ) ,

**suppose**that the equation ( 2-1 ) } = 0 has two linearly independent solutions f and g such that So 11 " ( s ) ? ds = 0 ( 12 ) and Solg ' ( s ) ) ? ds = 0 ( 1 ) . Then the point 2 belongs to the essential spectrum of ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

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