## Linear Operators, Part 1 |

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Page 475

CHAPTER VI

linear maps between Bspaces begun in Chapter II. Various

introduced in the space B(3:, )) of bounded linear maps between the B-spaces 3

and 9).

CHAPTER VI

**Operators**and Their Adjoints This chapter continues the study oflinear maps between Bspaces begun in Chapter II. Various

**topologies**areintroduced in the space B(3:, )) of bounded linear maps between the B-spaces 3

and 9).

Page 477

strong, and the weak

strong

uniform ...

strong, and the weak

**operator topologies**in B(t, y)). It is evident that the uniform**operator topology**is stronger than the strong**operator topology**, and that thestrong

**operator topology**is stronger than the weak**operator topology**. With itsuniform ...

Page 511

2 A set A C B(3:, )) is compact in the weak

closed in the weak

compact for each a e 3:. A set A C B(3, 9)) is compact in the strong

2 A set A C B(3:, )) is compact in the weak

**operator topology**if and only if it isclosed in the weak

**operator topology**and the weak closure of Aa is weaklycompact for each a e 3:. A set A C B(3, 9)) is compact in the strong

**operator****topology**if ...### What people are saying - Write a review

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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