## Linear Operators, Part 1 |

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Page 186

... used in proving uniqueness in Lemma 1 goes through without change in this

case . Q.E.D. 3 DEFINITION . The

Theorem 2 is called the product

Mn ) .

... used in proving uniqueness in Lemma 1 goes through without change in this

case . Q.E.D. 3 DEFINITION . The

**measure space**( S , E , u ) constructed inTheorem 2 is called the product

**measure space**of the**measure spaces**( Sn , En ,Mn ) .

Page 188

It is clear that the measure has the property u ( PE ; ) II M ; ( E :) , E ; Ei , • Župala n

= 1 - - and it follows from the ... Q.E.D. As in the case of finite

shall call the

It is clear that the measure has the property u ( PE ; ) II M ; ( E :) , E ; Ei , • Župala n

= 1 - - and it follows from the ... Q.E.D. As in the case of finite

**measure spaces**weshall call the

**measure space**( S , E , u ) constructed in Corollary 6 from the o ...Page 405

sional Gauss

all real sequences x [ x ] as distinct from le , which is the subspace of s

determined by the condition 2x < .0 . The

subset l ...

sional Gauss

**measure**on the real line . The**space**s is , of course , the**space**ofall real sequences x [ x ] as distinct from le , which is the subspace of s

determined by the condition 2x < .0 . The

**measure**Moo is countably additive ; thesubset l ...

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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

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