## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 2095

Consequently , the analogs of the results stated in the preceding paragraph for

restrictions of spectral and

Although the restrictions of operators with the single valued extension property

have ...

Consequently , the analogs of the results stated in the preceding paragraph for

restrictions of spectral and

**scalar type**operators also hold for their quotients .Although the restrictions of operators with the single valued extension property

have ...

Page 2106

It is proved that if A is adjoint Abelian , then ( i ) ( A2 ) * is a

class ( X ) , and ( ii ) if X is weakly complete , then A2 is a

Moreover , if A is adjoint Abelian and X is weakly complete , then A is

...

It is proved that if A is adjoint Abelian , then ( i ) ( A2 ) * is a

**scalar type**operator ofclass ( X ) , and ( ii ) if X is weakly complete , then A2 is a

**scalar type**operator .Moreover , if A is adjoint Abelian and X is weakly complete , then A is

**scalar type**...

Page 2174

In a Hilbert space the condition that lett | S M for all t e R implies that T is

equivalent to a self adjoint operator and hence is a

spectrum . ( This follows from Lemma XV.6.1 which implies that the bounded

group G ...

In a Hilbert space the condition that lett | S M for all t e R implies that T is

equivalent to a self adjoint operator and hence is a

**scalar type**operator with realspectrum . ( This follows from Lemma XV.6.1 which implies that the bounded

group G ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

47 other sections not shown

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