## 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 1647

In connection with

identical . Thus , by Lemma 3 , a distribution F corresponds to a unique

continuous ...

In connection with

**Definition**4 , it should be noted that two continuous functions**defined**in I which differ at most on a Lebesgue null set are in fact everywhereidentical . Thus , by Lemma 3 , a distribution F corresponds to a unique

continuous ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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