## Linear Operators: General theory |

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Page 280

That ( 1 )

That ( 1 )

**implies**( 2 ) can be proved in a manner similar to that used in Theorem 14 to show that condition ( 3 ) of that theorem**implies**( 4 ) .Page 430

We observe first that each of the three conditions

We observe first that each of the three conditions

**implies**that A is bounded in the metric topology , for x * ( A ) is a bounded set of scalars for each x ...Page 454

To each point pe C there corresponds a unique nearest point N ( p ) € K. To see this , note that Lemma IV.4.2

To each point pe C there corresponds a unique nearest point N ( p ) € K. To see this , note that Lemma IV.4.2

**implies**that if { k } is a sequence in K such ...### 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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