## Linear Operators: Spectral theory |

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Page 993

Then it

Then it

**follows**from what has just been demonstrated that av , Ayur , Qy , i.e. , Oy is independent of V. Q.E.D. - 16 THEOREM . If the bounded measurable function 9 has its spectral set consisting of the single point m then , for some ...Page 996

5x11x ) q ( x ) dx = 1 Since f * q is continuous by Lemma 3.1 ( d ) it

5x11x ) q ( x ) dx = 1 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 O ( $ * 9 ) Colp ) and from Lemma 12 ( c ) and the equation of if it**follows**that ...Page 1226

Part ( a )

Part ( a )

**follows**immediately from Lemma 5 ( b ) , and part ( b )**follows**immediately from part ( a ) and Lemma 5 ( c ) . Q.E.D. It**follows**from Lemma 6 ( b ) that any symmetric operator with dense domain has a unique minimal closed ...### 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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