## Linear Operators: General theory |

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Page 95

Finitely Additive Set

process is

integral v may ...

Finitely Additive Set

**Functions**In contrast to the terms real**function**, complex**function**, etc., where the adjectives real and ... Thus, even if the integrationprocess is

**defined**with respect to a scalar valued set**function**ft, the resultingintegral v may ...

Page 101

icS scS If for some null set N the restriction of / to S—N has its values in a

separable set, the

Expressions such as essentially contpact valued are

example above, ...

icS scS If for some null set N the restriction of / to S—N has its values in a

separable set, the

**function**/ is said to be ft- essentially separably valued.Expressions such as essentially contpact valued are

**defined**similarly. In theexample above, ...

Page 173

Find a continuous monotone increasing real

cannot be represented as 40 Under the hypotheses of Exercise 36, let 0 < a < 1,

and suppose that G is defined on 5x5, and continuous for all (s, t) such that s t,

and ...

Find a continuous monotone increasing real

**function**/**defined**on S such that /cannot be represented as 40 Under the hypotheses of Exercise 36, let 0 < a < 1,

and suppose that G is defined on 5x5, and continuous for all (s, t) such that s t,

and ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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