## Linear Operators: Spectral theory |

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Page 1188

4 ) that ( 11 – 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 ( 11 – 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 | 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 | be a complex Borel function

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

extensions of S and Ŝ respectively , and let ( T ) and 2n ( Î ) be the numbers

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

operator ...

extensions of S and Ŝ respectively , and let ( T ) and 2n ( Î ) be the numbers

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

**Define**theoperator ...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

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