## Linear Operators, Volume 2 |

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Page 993

Then it

Then it

**follows**from what has just been demonstrated that av , = Qyuv , = Qy , i.e. , & p is independent of V. Q.E.D. 16 THEOREM . If the bounded measurable function y has its spectral set consisting of the single point m then ...Page 996

Since f * q is continuous by Lemma 3.1 ( d ) it

Since f * q is continuous by Lemma 3.1 ( d ) it

**follows**from the above equation that f * 4 +0 . From Lemma 12 ( b ) it is seen that olf * 9 ) Cole ) and from Lemma 12 ( c ) and the equation of = Tf it**follows**that o ( f * Q ) contains ...Page 1124

If E ,, E are in F and q ( En ) increases to the limit 9 ( E ) , then it

If E ,, E are in F and q ( En ) increases to the limit 9 ( E ) , then it

**follows**from what we have already proved that E is an increasing sequence of projections and E , SE . If Ec is the strong limit of En , then E. SE and Q ( E ) = Q ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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