## Linear Operators: General theory |

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Page 475

CHAPTER VI

linear maps between B- spaces begun in Chapter II. Various

introduced in the space B(5L, ^)) of bounded linear maps between the B-spaces

X and ...

CHAPTER VI

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

**topologies**areintroduced in the space B(5L, ^)) of bounded linear maps between the B-spaces

X and ...

Page 511

Exercises 1 The space B(3£, 7)) is algebraically isomorphic to a subspace of the

product Pwj 3),., where ?)x = ?), under the mapping T -> Pv j Tx. Show that the

strong

Exercises 1 The space B(3£, 7)) is algebraically isomorphic to a subspace of the

product Pwj 3),., where ?)x = ?), under the mapping T -> Pv j Tx. Show that the

strong

**topology**of**operators**in 7)) is identical with the usual product**topology**...Page 512

is compact in the strong

sequentially compact in the weak

the weak

^) ) is ...

is compact in the strong

**operator topology**. If 2) is also separable, A issequentially compact in the weak

**operator topology**if and only if A is compact inthe weak

**operator topology**. 6 If 3) is reflexive, then the closed unit sphere of #(£,^) ) is ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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