## Linear Operators, Part 1 |

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Page 186

Thus the argument used in proving uniqueness in Lemma 1 goes through without

change in this case. Q.E.D. 3 DEFINITION. The

constructed in Theorem 2 is called the product

Thus the argument used in proving uniqueness in Lemma 1 goes through without

change in this case. Q.E.D. 3 DEFINITION. The

**measure space**(S, X, u)constructed in Theorem 2 is called the product

**measure space**of the**measure****spaces**...Page 188

E;) = II*(E), E, e 2, , and it follows from the uniqueness part of Theorem 2 for each

of the spaces (E9), 29), u0)), that u is the unique countably additive measure on 2

with this property. Q.E.D. As in the case of finite

E;) = II*(E), E, e 2, , and it follows from the uniqueness part of Theorem 2 for each

of the spaces (E9), 29), u0)), that u is the unique countably additive measure on 2

with this property. Q.E.D. As in the case of finite

**measure spaces**we shall call ...Page 405

sional Gauss

real sequences a = [al] as distinct from lo which is the subspace of s determined

by the condition X.1a* < x. The

...

sional Gauss

**measure**on the real line. The**space**s is, of course, the**space**of allreal sequences a = [al] as distinct from lo which is the subspace of s determined

by the condition X.1a* < x. The

**measure**as is countably additive; the subset le of...

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

27 other sections not shown

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