## Linear Operators, Part 2 |

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Page 993

Then it

Then it

**follows**from what has just been demonstrated that 6.v = dy , i.e. , Qy is independent of V. Q.E.D. - = αγυν , 16 THEOREM . If the bounded measurable function o has its spectral set consisting of the single point m then ...Page 996

1 Set ( a ) p ( x ) dx Since f * q is continuous by Lemma 3.1 ( d ) it

1 Set ( a ) p ( x ) dx Since f * q is continuous by Lemma 3.1 ( d ) it

**follows**from the above equation that f * 9 +0 . From Lemma 12 ( b ) it is seen that 0. olf * 9 ) Colp ) and from Lemma 12 ( c ) and the equation of = Tf it**follows**...Page 1486

If

If

**follows**immediately that all the coefficients of t are bounded ; thus , by Theorem 6.35 , it**follows**that t has no boundary values at + oo or at -0 . By Theorem 2.19 , t has no boundary values . Thus , by Definition 2.17 every linear ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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