## Linear Operators: Spectral operators |

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Results 1-3 of 84

Page 1991

In particular , if f is

measurable and thus integrable . For , in this case , the range of f may be covered

with a finite number of open sets G1 , . . . , Gn , each having diameter less than a

given ...

In particular , if f is

**continuous**and has its values in a compact set , it is l -measurable and thus integrable . For , in this case , the range of f may be covered

with a finite number of open sets G1 , . . . , Gn , each having diameter less than a

given ...

Page 2066

Since t + f1 is a

Since fs * fr = fs + + * f we have h ( fr ) h ( ft ) = h ( fs + t ) h ( f ) , which shows that c

( 8 + t ) ...

Since t + f1 is a

**continuous**map of RN into Li ( XI . 3 . 1 ( f ) ) and since h is**continuous**( IX . 2 . 3 ) , the inequality ( 7 ) shows that c ( t ) is**continuous**in t .Since fs * fr = fs + + * f we have h ( fr ) h ( ft ) = h ( fs + t ) h ( f ) , which shows that c

( 8 + t ) ...

Page 2448

Suppose that : ( a ) a

M , is given ; ( b ) a

given ; ( c ) a

...

Suppose that : ( a ) a

**continuous**linear mapping q : A → B ( X ) , of norm at mostM , is given ; ( b ) a

**continuous**linear mapping n : A → A , of norm at most M1 , isgiven ; ( c ) a

**continuous**linear mapping 1 : A → B ( x ) , of norm at most M1 , such...

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

29 other sections not shown

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