## Linear Operators: Spectral operators |

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Results 1-3 of 84

Page 2094

Berkson and Dowson [ 1 ] have considered prespectral operators in some detail

and have obtained a number of results concerning them . They show that if T is

spectral , then T * has a unique resolution of the identity of class ( X ) ;

if ...

Berkson and Dowson [ 1 ] have considered prespectral operators in some detail

and have obtained a number of results concerning them . They show that if T is

spectral , then T * has a unique resolution of the identity of class ( X ) ;

**moreover**,if ...

Page 2115

F if and only if T and U are quasi - nilpotent equivalent . If T is a spectral operator

and T and U are quasi - nilpotent equivalent , then U is a spectral operator .

**Moreover**, if T and U are decomposable , then X ( F ) = xy ( F ) for all closed setsF if and only if T and U are quasi - nilpotent equivalent . If T is a spectral operator

and T and U are quasi - nilpotent equivalent , then U is a spectral operator .

Page 2423

for -o0 < < 0 and 2 h > 0 , while ( 102B ) ( 0 , 82 ) | = | B | ly.A for -00 < O < 0 and

oo Zh > 0 . Thus , using ( 15 ) – ( 17 ) we find that ( 22 ) | ( 1 +101 ) ( On A ) ( 81 , 0

) ( 012B ) ( 0 , 82 ) | = || Ally.8 || Blly.B :

...

for -o0 < < 0 and 2 h > 0 , while ( 102B ) ( 0 , 82 ) | = | B | ly.A for -00 < O < 0 and

oo Zh > 0 . Thus , using ( 15 ) – ( 17 ) we find that ( 22 ) | ( 1 +101 ) ( On A ) ( 81 , 0

) ( 012B ) ( 0 , 82 ) | = || Ally.8 || Blly.B :

**Moreover**, we have ( 23 ) h - Bllon A ) ( 81...

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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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