## Linear Operators: General theory |

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Page 4

If A is an infinite set of real numbers , then the symbol lim sup A

infimum of all numbers b with the property ... In particular , if A is a sequence { an

} then lim sup A and lim inf A are usually

00 n ...

If A is an infinite set of real numbers , then the symbol lim sup A

**denotes**theinfimum of all numbers b with the property ... In particular , if A is a sequence { an

} then lim sup A and lim inf A are usually

**denoted**by lim sup an , lim inf an , n +00 n ...

Page 103

For an example of such a function , let S = ( 0 , 1 ) and be the field of finite unions

of intervals I = [ a , b ) , 0 < a < b < 1 , with u ( I ) = b - - a as in Section 1 . Let R

F ...

For an example of such a function , let S = ( 0 , 1 ) and be the field of finite unions

of intervals I = [ a , b ) , 0 < a < b < 1 , with u ( I ) = b - - a as in Section 1 . Let R

**denote**the set of rational points in S . For r = p / q e R in lowest terms , we defineF ...

Page 142

Throughout the proof the symbol E with or without subscripts will

E , the symbol M with or without subscripts will

) = 0 , and N with or without subscripts will

Throughout the proof the symbol E with or without subscripts will

**denote**a set inE , the symbol M with or without subscripts will

**denote**a set in E for which v ( u , M) = 0 , and N with or without subscripts will

**denote**a subset of a set M . To see ...### What people are saying - Write a review

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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