## 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

very . extensions of S and Ŝ respectively , and let 2 , ( T ) and an ( f ) be the

numbers

H , , and let T , be a self adjoint operator in Hilbert space Hą .

T in H ...

very . extensions of S and Ŝ respectively , and let 2 , ( T ) and an ( f ) be the

numbers

**defined**for the self adjoint ... be a self adjoint operator in Hilbert spaceH , , and let T , be a self adjoint operator in Hilbert space Hą .

**Define**the operatorT in H ...

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 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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