## Linear Operators, Part 2 |

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Page 898

If we put E ( 8 ) = 0 when d n ( T ) is void , then

from Theorem 1 and

defined spectral measure associated , in

is ...

If we put E ( 8 ) = 0 when d n ( 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 Tis ...

Page 1142

Q . E . D . In what follows , we will use the symbols p and n to denote the

continuous extension to the classes C , of operators of the mappings p and n of

the previous lemma . We will also write r = ( p + n ) / 2 . We note the following

Q . E . D . In what follows , we will use the symbols p and n to denote the

continuous extension to the classes C , of operators of the mappings p and n of

the previous lemma . We will also write r = ( p + n ) / 2 . We note the following

**corollary**.Page 1301

If the assertion of the

value at a which is independent of the set A . , . . . , An - 1 , and hence has at least

n + 1 independent boundary values at a . But this is impossible by

If the assertion of the

**corollary**were false , it would follow that has a boundaryvalue at a which is independent of the set A . , . . . , An - 1 , and hence has at least

n + 1 independent boundary values at a . But this is impossible by

**Corollary**22 .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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