## Linear Operators: Spectral theory |

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Page 1180

(66) sup y”(r) = |x|, a e B; w" e Yand that in consequence Corollary 22 is valid for

functions f(r, s) with values in

with hardly any change in its proof, to the space of functions f with values in any ...

(66) sup y”(r) = |x|, a e B; w" e Yand that in consequence Corollary 22 is valid for

functions f(r, s) with values in

**Hilbert space**. Therefore, Corollary 23 generalizes,with hardly any change in its proof, to the space of functions f with values in any ...

Page 1262

28 Let a self adjoint operator A in a

there exists a

that Aa' = PQa', a e \), P denoting the orthogonal projection of S), on S). 29 Let {T,}

...

28 Let a self adjoint operator A in a

**Hilbert space**X5 with 0 < A = I be given. Thenthere exists a

**Hilbert space**or DS), and an orthogonal projection Q in S), suchthat Aa' = PQa', a e \), P denoting the orthogonal projection of S), on S). 29 Let {T,}

...

Page 1773

APPENDIX

numbers, together with a complex function (-, -) defined on S) × S3 with the

following properties: (i) (a, a.) = 0 if and only if a = 0; (ii) (a, ar) > 0, a e S); (iii) (a +

y, ...

APPENDIX

**Hilbert space**is a linear vector space $) over the field 4 of complexnumbers, together with a complex function (-, -) defined on S) × S3 with the

following properties: (i) (a, a.) = 0 if and only if a = 0; (ii) (a, ar) > 0, a e S); (iii) (a +

y, ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

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