## Linear Operators: General theory |

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Page 477

strong , and the weak

uniform

the strong

...

strong , and the weak

**operator**topologies in B ( X , Y ) . It is evident that theuniform

**operator**topology is stronger than the strong**operator**topology , and thatthe strong

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

Page 494

It is clear that the

S ) to X whose adjoint T * is given by ( d ) . From IV . 10 . 2 we conclude that T *

maps the unit sphere of X * into a conditionally weakly compact set of rca ( S ) ...

It is clear that the

**operator**T , defined by ( b ) , is a bounded linear**operator**on C (S ) to X whose adjoint T * is given by ( d ) . From IV . 10 . 2 we conclude that T *

maps the unit sphere of X * into a conditionally weakly compact set of rca ( S ) ...

Page 511

Exercises 1 The space B ( X , Y ) is algebraically isomorphic to a subspace of the

product Prex Ye , where Yæ = Y , under the mapping T → Prex Tx . Show that the

strong topology of

Exercises 1 The space B ( X , Y ) is algebraically isomorphic to a subspace of the

product Prex Ye , where Yæ = Y , under the mapping T → Prex Tx . Show that the

strong topology of

**operators**in B ( X , Y ) is identical with the usual product ...### What people are saying - Write a review

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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