## Linear Operators: General theory |

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Page 143

The measure of Lebesgue in an interval [ a , b ] of real numbers may be defined

as the Lebesgue extension of the

measurable sets in [ a , b ] are the sets in the Lebesgue extension ( relative to

The measure of Lebesgue in an interval [ a , b ] of real numbers may be defined

as the Lebesgue extension of the

**Borel**measure in [ a , b ] . The Lebesguemeasurable sets in [ a , b ] are the sets in the Lebesgue extension ( relative to

**Borel**...Page 643

11 ) . It was shown at the beginning of the proof of Lemma 1 . 25 that if E is a

of the plane . For each

.

11 ) . It was shown at the beginning of the proof of Lemma 1 . 25 that if E is a

**Borel**subset of the real line , the set P ( E ) = { ( x , y ) \ c + y e E } is a**Borel**subsetof the plane . For each

**Borel**subset E of the real line let 7 ( E ) = ( « XB ) { P ( E ) }.

Page 838

10 ( 137 )

) III . 13 . 8 ( 223 )

5 ( 60 ) in a partially ordered set , I . 2 . 3 ( 4 ) in the extended ) real number ...

10 ( 137 )

**Borel**measure ( or**Borel**- Lebesgue measure ) , construction of , ( 139) III . 13 . 8 ( 223 )

**Borel**- Stieltjes measure , ( 142 ) Bound , of an operator , II . 3 .5 ( 60 ) in a partially ordered set , I . 2 . 3 ( 4 ) in the extended ) real number ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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