## Linear Operators, Part 1 |

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Page 289

A result analogous to that of Theorem 1 may be

, u ) is a o - finite measure space . 5 THEOREM . If ( S , E , u ) is a positive o - finite

measure space , there is an isometric isomorphism between L * ( S , E , u ) and ...

A result analogous to that of Theorem 1 may be

**obtained**by assuming that ( S , E, u ) is a o - finite measure space . 5 THEOREM . If ( S , E , u ) is a positive o - finite

measure space , there is an isometric isomorphism between L * ( S , E , u ) and ...

Page 387

among other things , that the Bohr compactification of a locally compact Abelian

group G may be

its discrete topology , and then taking the character group of this discrete group .

among other things , that the Bohr compactification of a locally compact Abelian

group G may be

**obtained**by taking the character group Ĝ of G , equipping Ĝ withits discrete topology , and then taking the character group of this discrete group .

Page 395

Representation theorems for non - normed spaces , similar to those cited above ,

have been

primarily concerned with various aspects of the theory of ordered spaces .

Representation theorems for non - normed spaces , similar to those cited above ,

have been

**obtained**by Kuller [ 1 ] . The following is an incomplete list of worksprimarily concerned with various aspects of the theory of ordered spaces .

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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