## Linear Operators: Spectral theory |

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Page 1188

4 ) that ( 21 - T ) - 1 is bounded since it is everywhere

the proof of Lemma VII . 3 . 2 where the facts that p ( T ) is open and that R ( 2 ; T )

is analytic are proved for bounded operators will make it clear that these same ...

4 ) that ( 21 - T ) - 1 is bounded since it is everywhere

**defined**. An examination ofthe proof of Lemma VII . 3 . 2 where the facts that p ( T ) is open and that R ( 2 ; T )

is analytic are proved for bounded operators will make it clear that these same ...

Page 1196

bounded Borel functions into an algebra of normal operators in Hilbert space and

thus the above formula

self adjoint operator T and let f be a complex Borel function

bounded Borel functions into an algebra of normal operators in Hilbert space and

thus the above formula

**defines**an ... Let E be the resolution of the identity for theself adjoint operator T and let f be a complex Borel function

**defined**E - almost ...Page 1548

extensions of S and Ŝ respectively , and let an ( T ) and ( ) be the numbers

space Hı , and let T , be a self adjoint operator in Hilbert space Hz .

operator ...

extensions of S and Ŝ respectively , and let an ( T ) and ( ) be the numbers

**defined**for the self adjoint operators T and ... be a self adjoint operator in Hilbertspace Hı , and let T , be a self adjoint operator in Hilbert space Hz .

**Define**theoperator ...

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### Contents

IX | 859 |

extensive presentation of applications of the spectral theorem | 911 |

Miscellaneous Applications | 937 |

Copyright | |

20 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

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