## Linear Operators: Spectral theory |

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Results 1-3 of 92

Page 1180

( 66 ) sup g * ( c ) | = | | , a e B ; yieY and that in consequence Corollary 22 is valid

for functions f ( x , s ) with values in

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

values ...

( 66 ) sup g * ( c ) | = | | , a e B ; yieY and that in consequence Corollary 22 is valid

for functions f ( x , s ) with values in

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

values ...

Page 1262

28 Let a self adjoint operator A in a

there exists a

that Ax = PQx , XEH , P denoting the orthogonal projection of Hi on H . 29 Let { Tn

} ...

28 Let a self adjoint operator A in a

**Hilbert space**H with O SA SI be given . Thenthere exists a

**Hilbert space**H , 2H , and an orthogonal projection Q in H , suchthat Ax = PQx , XEH , P denoting the orthogonal projection of Hi on H . 29 Let { Tn

} ...

Page 1773

APPENDIX

numbers , together with a complex function ( : , • ) defined on HXH with the

following properties : ( i ) ( x , x ) = 0 if and only if x = 0 ; ( ii ) ( z , z ) 2 0 , 2 c 0 ; ( iii

) ( x + y ...

APPENDIX

**Hilbert space**is a linear vector space H over the field Ø of complexnumbers , together with a complex function ( : , • ) defined on HXH with the

following properties : ( i ) ( x , x ) = 0 if and only if x = 0 ; ( ii ) ( z , z ) 2 0 , 2 c 0 ; ( iii

) ( x + y ...

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### Contents

IX | 859 |

extensive presentation of applications of the spectral theorem | 911 |

Miscellaneous Applications | 937 |

Copyright | |

20 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

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