## Linear Operators: General theory |

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Page 494

2 we conclude that T * maps the unit sphere of X * into a conditionally weakly

compact set of rca ( S ) , and therefore T * is a weakly

Theorem 4 . 8 this implies that T is a weakly

THEOREM .

2 we conclude that T * maps the unit sphere of X * into a conditionally weakly

compact set of rca ( S ) , and therefore T * is a weakly

**compact operator**. ByTheorem 4 . 8 this implies that T is a weakly

**compact operator**. Q . E . D . 4THEOREM .

Page 541

compact and

treated the same case for an arbitrary o - finite measure space X obtaining a

representation of the general operator as an integral with respect to a

Lipschitzean ...

compact and

**compact operators**from L ( S ) to an arbitrary space X . Phillips [ 3 ]treated the same case for an arbitrary o - finite measure space X obtaining a

representation of the general operator as an integral with respect to a

Lipschitzean ...

Page 577

Spectral Theory of

exercises in Section VI . 9 that a number of linear operators of importance in

analysis either are compact , or have compact squares . The structure of the

spectrum of ...

Spectral Theory of

**Compact Operators**It has been observed in some of theexercises in Section VI . 9 that a number of linear operators of importance in

analysis either are compact , or have compact squares . The structure of the

spectrum of ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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