## Linear Operators: General theory |

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Page 15

( b ) For every pair of distinct points x and y , there are

( b ) For every pair of distinct points x and y , there are

**disjoint**neighborhoods of x and y . ( c ) For every closed set A , and every x ¢ A , there are**disjoint**neighborhoods of A and x . ( d ) For every pair of**disjoint**closed sets ...Page 320

... the supremum is taken over all finite collections of scalars with oil = 1 and all partitions of E into a finite number of

... the supremum is taken over all finite collections of scalars with oil = 1 and all partitions of E into a finite number of

**disjoint**sets in Σ . A number of elementary properties of the semi - variation are listed in the next lemma .Page 461

and an arbitrary convex set is possible , provided they are

and an arbitrary convex set is possible , provided they are

**disjoint**( compare Theorem 2.8 ) . He also proved that a convex set K which is compact in the X * topology of the normed linear space X , can be separated from an arbitrary ...### 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 | |

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