## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 77

Page 594

Since | does not vanish on 07 , there is an he F ( T ) such that this identically one

on on , and identically zero on { 27 , . . . , 2x } . Thus f ( T ) h ( T ) = E ( 01 ) , so that

fn ( T ) E ( 0 ) converges in the

Since | does not vanish on 07 , there is an he F ( T ) such that this identically one

on on , and identically zero on { 27 , . . . , 2x } . Thus f ( T ) h ( T ) = E ( 01 ) , so that

fn ( T ) E ( 0 ) converges in the

**uniform**topology of operators . It follows from ...Page 841

6 . 17 ( 23 ) representation as a C - space , almost periodic functions , IV . 7 . 6 (

285 ) bounded functions , IV . 6 . 18 - 22 ( 274 – 277 ) special C - spaces , ( 397 -

398 )

6 . 17 ( 23 ) representation as a C - space , almost periodic functions , IV . 7 . 6 (

285 ) bounded functions , IV . 6 . 18 - 22 ( 274 – 277 ) special C - spaces , ( 397 -

398 )

**uniform**continuity , 1 . 6 . 16 – 18 ( 2324 ) of almost periodic functions , IV .Page 857

5 ( 32 ) remarks on , ( 730 )

properties , VI . 9 . 11 - 12 ( 512 - 513 ) Unit , of a group , ( 34 ) Unit sphere in a

normed space , compactness and finite dimensionality of , IV . 3 . 5 ( 245 ) ...

5 ( 32 ) remarks on , ( 730 )

**Uniform**operator topology , definition , VI . 1 . 1 ( 475 )properties , VI . 9 . 11 - 12 ( 512 - 513 ) Unit , of a group , ( 34 ) Unit sphere in a

normed space , compactness and finite dimensionality of , IV . 3 . 5 ( 245 ) ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

12 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

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