## Linear Operators: Spectral theory |

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Page 898

If E is the resolution of the

If E is the resolution of the

**identity**for the normal operator T and if d is a Borel set of complex numbers , then E ( ) T = TE ( 8 ) , 0 ( T ) CJ , where To is the restriction of T to E ( d ) ... Proof . The first statement follows ...Page 920

Let E and È be the resolutions of the

Let E and È be the resolutions of the

**identity**for T and † respectively . From Corollary 2.7 it is seen that Ể = VEV - 1 and hence that F ( T ) = VF ( T ) V - 1 for every bounded Borel function F. The mapping W = Ū V of H onto En- ...Page 1717

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

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

**identity**( 1 ) JU1C ( x ) Od : C ( x ) 20.013 + Σ C1,1 ... Making use of**identities**of the type ( 1 ) , we may evidently proceed to prove by induction on the order of r that t may ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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