## Linear Operators: Spectral theory |

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Therefore , Corollary 23 generalizes , with hardly any change in its proof , to the space of functions f with values in any space L , ( ) , y denoting an arbitrary

Therefore , Corollary 23 generalizes , with hardly any change in its proof , to the space of functions f with values in any space L , ( ) , y denoting an arbitrary

**Hilbert space**. Next , it may be noted that Lemma 24 generalizes at once ...Page 1262

28 Let a self adjoint operator A in a

28 Let a self adjoint operator A in a

**Hilbert space**H with O SA SI be given . Then there exists a**Hilbert space**H , ? Ý , and an orthogonal projection Q in ý , such that Ar = PQx , XEV , P denoting the orthogonal projection of Hi on H.Page 1773

APPENDIX αεΦ ,

APPENDIX αεΦ ,

**Hilbert space**is a linear vector space H over the field of complex numbers , together with a complex function ( : , . ) defined on HXH with the following properties : ( i ) ( x , x ) = 0 if and only if x = 0 ; ( ii ) ( x ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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