## Linear Operators: Spectral theory |

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Page 898

Q.E.D. 5 DEFINITION. The uniquely defined spectral measure associated, in

Corollary 4, with the normal operator T is called the resolution of the

In order to relate this notion of the resolution of the

Section ...

Q.E.D. 5 DEFINITION. 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 relate this notion of the resolution of the

**identity**with that given inSection ...

Page 920

Under this assumption it will be shown that there is an ordered representation of

§ onto X., L.,(3,, pi) relative to T. It will follow from Theorem 10 that U and U are

equivalent. Let E and E be the resolutions of the

Under this assumption it will be shown that there is an ordered representation of

§ onto X., L.,(3,, pi) relative to T. It will follow from Theorem 10 that U and U are

equivalent. Let E and E be the resolutions of the

**identity**for T and T respectively.Page 1717

By induction on Jil, we can readily show that a formal

)6/16". H- X CJ.J., a,(r)6', |J| <|J1+|J, with suitable coefficients C,...,,, holds for

every function Cin Co(I). Making use of

...

By induction on Jil, we can readily show that a formal

**identity**(1) 3/1 C(r)6/2 = C(r)6/16". H- X CJ.J., a,(r)6', |J| <|J1+|J, with suitable coefficients C,...,,, holds for

every function Cin Co(I). Making use of

**identities**of the type (1), we may evidently...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

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