## Linear Operators, Part 2 |

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Page 1463

Since all the terms in the integral on the right are non - negative , we must have tite - fatı identically

Since all the terms in the integral on the right are non - negative , we must have tite - fatı identically

**zero**in [ c , d ] . Thus ( ( total ) ' = tzotta - rata ) is identically**zero**in [ c , d ] , so that fita is constant .Page 1474

Since , by Lemma 35 , ost , a ) has a

Since , by Lemma 35 , ost , a ) has a

**zero**between every pair of**zeros**of o ( t , 22 ) , we have only to show that the interval ( a , z ] between a and the smallest**zero**z of o ( t , 2 , ) contains a**zero**of ost , a ) , and we will have ...Page 1475

If we can show that o ( :, ) has a

If we can show that o ( :, ) has a

**zero**in ( a , zz ) and a**zero**in [ 22 , b ) , we will have established that o ( :, 22 ) has at least n + 1**zeros**in ( a , b ) , contradicting the fact that n , is in Jn . It is sufficient to prove that ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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