## Linear Operators: General theory |

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Page 95

Finitely Additive Set

process is defined with respect to a scalar

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 119

(b) the

measurable. Next suppose that we consider a

(b) the

**function**g defined by g(s) = f(s) if s 4 S+ \j S~, g(s) = 0 if s e S+ U S~, is //-measurable. Next suppose that we consider a

**function**/ (vector or extended real-**valued**) which is defined only on the complement of a //-null set NQS. Then we ...Page 196

Next we study the relation between the theory of product measures and the

theory of vector

F is a yw-measurable

each ...

Next we study the relation between the theory of product measures and the

theory of vector

**valued**integrals. ... Suppose that (S, Z, fi) is a measure space andF is a yw-measurable

**function**whose values are in L„(T, ZT, X), 1 ^ p < oo. Foreach ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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