## Linear Operators: Spectral theory |

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Page 898

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

from Theorem 1 and

defined spectral measure associated , in

...

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

**Corollary**4 follows immediatelyfrom Theorem 1 and

**Corollary**IX . 3 . 15 . Q . E . D . 5 DEFINITION . The uniquelydefined spectral measure associated , in

**Corollary**4 , with the normal operator T...

Page 1301

Proceeding inductively we see that vk ) ( 6 ) = 0 , 0 Sk S 2n - 1 . However , as vo

satisfies an equation of order 2n , v , must be identically zero . This contradiction

completes the proof . Q . E . D . 23

Proceeding inductively we see that vk ) ( 6 ) = 0 , 0 Sk S 2n - 1 . However , as vo

satisfies an equation of order 2n , v , must be identically zero . This contradiction

completes the proof . Q . E . D . 23

**COROLLARY**. Let t be a formal differential ...Page 1459

Q . E . D . 30

differential operator t is finite below zero . PROOF . It is obvious from Definition 20

that t is bounded below . Thus the present

Q . E . D . 30

**COROLLARY**. A formally positive formally symmetric formaldifferential operator t is finite below zero . PROOF . It is obvious from Definition 20

that t is bounded below . Thus the present

**corollary**follows from**Corollary**7 and ...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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