## Linear Operators: Spectral operators |

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Page 2285

Moreover if Pn

= { h | Pnh € D ( 174 ) for all n and Aj ... Let X be a separable complex Banach

space and Q be a bounded scalar type spectral operator in X . Let B

Moreover if Pn

**denotes**the perpendicular projection of H onto Hn , then D ( A - 1 )= { h | Pnh € D ( 174 ) for all n and Aj ... Let X be a separable complex Banach

space and Q be a bounded scalar type spectral operator in X . Let B

**denote**the ...Page 2436

Next , let C * ( EN )

valued functions defined in En and vanishing outside a bounded set , let g € Cm (

En ) , and let g = f , with f e L2 ( En ) , so that , by the Plancherel theorem ( XV . 11

.

Next , let C * ( EN )

**denote**the set of all infinitely often differentiable complexvalued functions defined in En and vanishing outside a bounded set , let g € Cm (

En ) , and let g = f , with f e L2 ( En ) , so that , by the Plancherel theorem ( XV . 11

.

Page 2466

Let R

singular measure on R , so that there ... Let H '

{ fi ( • ) } of u - measurable functions defined on R such that ( 33 ) 1512 = § 5 ...

Let R

**denote**the real axis , the Lebesgue measure on R , and v a finite positive -singular measure on R , so that there ... Let H '

**denote**the set of all sequences f ={ fi ( • ) } of u - measurable functions defined on R such that ( 33 ) 1512 = § 5 ...

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### Contents

SPECTRAL OPERATORS | 1924 |

An Operational Calculus for Bounded Spectral | 1941 |

Part | 1950 |

Copyright | |

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