## Linear Operators: Spectral theory |

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Page 898

The uniquely defined spectral measure associated , in Corollary 4 , with the

normal operator T is called the

this notion of the

...

The uniquely defined spectral measure associated , in Corollary 4 , with the

normal operator T is called the

**resolution**of the identity for T . In order to relatethis notion of the

**resolution**of the identity with that given in Section 1 we state the...

Page 920

Let E and be the

Corollary 2 . ... A Formula for the Spectral

operators it is important to have a method for calculating the

identity .

Let E and be the

**resolutions**of the identity for T and † respectively . FromCorollary 2 . ... A Formula for the Spectral

**Resolution**In working with specificoperators it is important to have a method for calculating the

**resolution**of theidentity .

Page 1128

( b ) Every projection in the spectral

combinations of the projections E ; . This we do as follows . Let A be the

commutative B * - algebra of operators generated by the projections E , and let /

be its ...

( b ) Every projection in the spectral

**resolution**of T is the strong limit of linearcombinations of the projections E ; . This we do as follows . Let A be the

commutative B * - algebra of operators generated by the projections E , and let /

be its ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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