## 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

This shows that if S ,

) , then S . SWT , W - SS . Let v

1 + 1x | 4 ) dx , so that by Theorem III . 10 . 4 we have ( 13 ) | 90 ( * ) v ( dx ) = S ...

This shows that if S ,

**denotes**the restriction of S to the subspace Co ( En ) of D ( S) , then S . SWT , W - SS . Let v

**denote**the measure on En defined by v ( e ) = Se (1 + 1x | 4 ) dx , so that by Theorem III . 10 . 4 we have ( 13 ) | 90 ( * ) v ( dx ) = S ...

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Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert Gardner Bartle. To

describe the special case of Theorem 9 which we first wish to consider , we must

introduce certain notations . Let R

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert Gardner Bartle. To

describe the special case of Theorem 9 which we first wish to consider , we must

introduce certain notations . Let R

**denote**the real axis , the Lebesgue measure ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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