## Linear Operators, Part 1 |

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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 455

Let G = U_Yn ; then f is

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

can be ...

Let G = U_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 f € F is

**determined**by GF We can even assert that each continuous linear functional |can be ...

Page 657

... after t seconds have elapsed , have passed into a uniquely

state y . Since y is uniquely

defined by the equation y = $ + ( x ) . The flow is assumed to have the property

that ( i ) ...

... after t seconds have elapsed , have passed into a uniquely

**determined**newstate y . Since y is uniquely

**determined**by x and t , a function be on S to S isdefined by the equation y = $ + ( x ) . The flow is assumed to have the property

that ( i ) ...

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

### Common terms and phrases

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