## Linear Operators, Part 1 |

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Page 3

that is , for every a € A , the

g : B → C , then the mapping gf : A → C is defined by the equation ( gf ) ( a ) = g ( /

( a ) ) for a € A. If f : A → B and C CA , the symbol f ( C ) is used for the set of all ...

that is , for every a € A , the

**function f**assigns an element f ( a ) € B. If f : A + B andg : B → C , then the mapping gf : A → C is defined by the equation ( gf ) ( a ) = g ( /

( a ) ) for a € A. If f : A → B and C CA , the symbol f ( C ) is used for the set of all ...

Page 104

Moreover , just as in the general case for a factor space ( see Section 1.11 ) the

addition and scalar multiplication of ... It is customary to speak of the elements

Moreover , just as in the general case for a factor space ( see Section 1.11 ) the

addition and scalar multiplication of ... It is customary to speak of the elements

**of****F**( S , E , u , X ) as if they were functions rather than sets of equivalent functions ...Page 196

Next we study the relation between the theory

theory

and

Next we study the relation between the theory

**of**product measures and thetheory

**of**vector valued integrals . ... Suppose that ( S , E , u ) is a measure spaceand

**F**is a u - measurable**function**whose values are in L ( T , ET , 2 ) , 1 sp < oo .### What people are saying - Write a review

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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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### Common terms and phrases

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