## Linear Operators: Spectral operators |

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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 | M for all te R implies that T is equivalent

to a self adjoint operator and hence is a

This follows from Lemma XV.6.1 which implies that the bounded group G ...

In a Hilbert space the condition that lett | M for all te R implies that T is equivalent

to a self adjoint operator and hence is a

**scalar type**operator with real spectrum . (This follows from Lemma XV.6.1 which implies that the bounded group G ...

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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