## 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 3E is weakly complete, then A2 is a

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

and ...

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

**scalar type**operator ofclass (X), and (ii) if 3E 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**ifand ...

Page 2174

In a Hilbert space the condition that |e"r| ^ 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 = {e, ...

In a Hilbert space the condition that |e"r| ^ 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 = {e, ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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