## Linear Operators: Spectral theory |

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Page 1083

Consequently , the series o 4 ( 2 ) — Ad ( 2 ) = { 42 " ΣΔ " ne2 of the preceding

Consequently , the series o 4 ( 2 ) — Ad ( 2 ) = { 42 " ΣΔ " ne2 of the preceding

**exercise**converges in the Hilbert - Schmidt norm . 44 Let ( S , E , u ) be a positive measure space . Then an operator A in the Hilbert space L2 ( S ...Page 1086

Show , finally , that by choosing A ( s , 8 ) = 0 for all s in S , we obtain the result of

Show , finally , that by choosing A ( s , 8 ) = 0 for all s in S , we obtain the result of

**Exercise**46 as a special case of the present result . ( Hint : Generalize the method of**Exercise**46. ) 49 The operator A of Hilbert - Schmidt ...Page 1087

( Hint : For ( d ) , use Weyl's inequality ,

( Hint : For ( d ) , use Weyl's inequality ,

**Exercise**30. ) E. Miscellaneous**Exercises**P 50 ( Halberg ) Let ( S , E , u ) be a o - finite measure space . Let T be a l - parameter family of bounded operators defined in a subinterval I of ...### 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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