## Linear Operators: General theory |

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Page 136

There is a uniquely determined smallest

o -

namely the

intersection ...

There is a uniquely determined smallest

**field**and a uniquely determined smallesto -

**field**containing a given family of sets . Proof . There is at least one**field**,namely the

**field**of all subsets of S , which contains a given family t . Theintersection ...

Page 166

Suppose that E is a set in E . If we put E ( E ) = { F¢£ | F ÇE } it is clear that E ( E )

is a

that if Eis a o -

...

Suppose that E is a set in E . If we put E ( E ) = { F¢£ | F ÇE } it is clear that E ( E )

is a

**field**of subsets of E , and that E ( E ) is the family of all sets AE , A € E , andthat if Eis a o -

**field**, then E ( E ) is a o -**field**. Σ ( Ε ) is called the restriction of Σ to...

Page 201

There should be no confusion between the symbols and E , for if a reduces to the

single element a then the

one of the form PacA EQ where Eq is in Eą and , for all but a finite number of o ...

There should be no confusion between the symbols and E , for if a reduces to the

single element a then the

**field**En is the o -**field**Eq . An elementary set in S isone of the form PacA EQ where Eq is in Eą and , for all but a finite number of o ...

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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