## Linear Operators, Part 2 |

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Page 898

If we put E ( ) = 0 when d n o ( T ) is void , then

If we put E ( ) = 0 when d n o ( T ) is void , then

**Corollary**( d 4 follows immediately from Theorem 1 and**Corollary**IX.3.15 . Q.E.D. 6 8 7 5 DEFINITION . The uniquely defined spectral measure associated , in**Corollary**4 , with the ...Page 1142

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**COROLLARY**. ( a ) The mapping T is a bounded map of C , into Cp , 1 < p < 00 . ( b ) If H is anti - Hermitian , then the anti - Hermitian part of tH is nH . ( c ) TH leaves invariant the range of each of the projections Ez of Theorem ...Page 1301

However , as vo satisfies an equation of order 2n , v , must be identically zero . This contradiction completes the proof . Q.E.D. ( k 23

However , as vo satisfies an equation of order 2n , v , must be identically zero . This contradiction completes the proof . Q.E.D. ( k 23

**COROLLARY**. Let t be a formal differential operator of order n on an interval I with end points a ...### 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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