## Linear Operators: General theory |

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Page 136

There is a uniquely

o - 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 . 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 . The

intersection ...

Page 143

Similarly , the Lebesgue - Stieltjes measure

bounded variation on a finite or infinite interval is the Lebesgue extension of the

Borel - Stieltjes measure

Similarly , the Lebesgue - Stieltjes measure

**determined**by a function f ofbounded variation on a finite or infinite interval is the Lebesgue extension of the

Borel - Stieltjes measure

**determined**by f . If u is either the Borel - Stieltjes or the ...Page 455

Let G = U = 1 Yn ; then f is

subset of X * , there exists a denumerable subset Gf of X * such that each fe F is

Let G = U = 1 Yn ; then f is

**determined**by G . It follows that if F is a denumerablesubset of X * , there exists a denumerable subset Gf of X * such that each fe F is

**determined**by GF : We can even assert that each continuous linear functional f ...### What people are saying - Write a review

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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