## Linear Operators: Spectral theory |

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Page 1180

(66) sup sy”(a) = |x|, a e B; w"e Ye and that in consequence Corollary 22 is valid

for functions f(r, s) with values in

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

values in ...

(66) sup sy”(a) = |x|, a e B; w"e Ye and that in consequence Corollary 22 is valid

for functions f(r, s) with values in

**Hilbert space**. Therefore, Corollary 28generalizes, with hardly any change in its proof, to the space of functions f with

values in ...

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 $31 on Y). 29 Let ...

28 Let a self adjoint operator A in a

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

**Hilbert space**on D $5, and an orthogonal projection Q in Š), suchthat Aa' = PQa', a e $), P denoting the orthogonal projection of $31 on Y). 29 Let ...

Page 1773

APPENDIX

numbers, together with a complex function (-, -) defined on $5 ×{} with the

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

y, ...

APPENDIX

**Hilbert space**is a linear vector space $5 over the field 4 of complexnumbers, together with a complex function (-, -) defined on $5 ×{} with the

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

y, ...

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

34 other sections not shown

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