## Linear Operators, Part 2 |

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Page 966

For some choice of f the integral on the right of [ * ] is not zero and since , by Lemma 1 ( d ) , the integral on the left of [ * ] is

For some choice of f the integral on the right of [ * ] is not zero and since , by Lemma 1 ( d ) , the integral on the left of [ * ] is

**continuous**, we conclude that hm agrees almost everywhere with a**continuous**function .Page 968

By IV.8.19 the integrable

By IV.8.19 the integrable

**continuous**functions on R are dense in Ly ( R ) so there is a**continuous**function f on R such that fli < 1 and ( if ) ( m . ) +0 . Let a = | ( if ) ( m . ) , so that 0 < a < 1 and let U be a neighborhood of m ...Page 1903

on non - existence in Lp , 0 < p < 1 , V.7.37 ( 438 )

on non - existence in Lp , 0 < p < 1 , V.7.37 ( 438 )

**Continuous**functions . ( See also Absolutely**continuous**functions ) as a B - space , additional properties , IV.15 definition , IV.2.14 ( 240 ) remarks concerning , ( 373-386 ) study ...### 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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