## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 1180

(66) sup jy"(.c)| = Ix], a: E B; 'OeYU and that in consequence Corollary 22 is valid

for functions f(a:, s) with values in

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

values in ...

(66) sup jy"(.c)| = Ix], a: E B; 'OeYU and that in consequence Corollary 22 is valid

for functions f(a:, s) with values in

**Hilbert space**. Therefore, Corollary 23generalizes, 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: = PQ.z', .2: e Q, P denoting the orthogonal projection of Si), on Q). 29 Let

...

28 Let a self adjoint operator A in a

**Hilbert space**Q) with 0 § A §I be given. Thenthere exists a

**Hilbert space**52), QQ, and an orthogonal projection Q in {)1 suchthat Aa: = PQ.z', .2: e Q, P denoting the orthogonal projection of Si), on Q). 29 Let

...

Page 1773

APPENDIX

numbers, together with a complex function (-, -) defined on $)><.§) with the

following properties: (i) (.z:,.r) = 0 if and only if .1: = 0; (ii) (.z,a:) g 0, 26$); (iii) (-1+9

, ...

APPENDIX

**Hilbert space**is a linear vector space 8;) over the field (D of complexnumbers, together with a complex function (-, -) defined on $)><.§) with the

following properties: (i) (.z:,.r) = 0 if and only if .1: = 0; (ii) (.z,a:) g 0, 26$); (iii) (-1+9

, ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

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