## Linear Operators, Part 1 |

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Page 72

Nelson Dunford, Jacob T. Schwartz. d you dec 1 +75 X { xx } . ) linear manifold in

X. Then X / 3 ( cf. 1.11 ) is a

inf \ x + zl . ( Hint : Given a Cauchy sequence in X / 3 , define a subsequence for ...

Nelson Dunford, Jacob T. Schwartz. d you dec 1 +75 X { xx } . ) linear manifold in

X. Then X / 3 ( cf. 1.11 ) is a

**B**-**space**( or an F - space ) with the metric ( x + 3 ) =inf \ x + zl . ( Hint : Given a Cauchy sequence in X / 3 , define a subsequence for ...

Page 89

In the definitions of F- and

their metric topology . ... Then X is isomorphic and isometric with a dense linear

subspace of an F - space X. The space X is uniquely determined up to isometric ...

In the definitions of F- and

**B**-**spaces**, we required the spaces to be complete intheir metric topology . ... Then X is isomorphic and isometric with a dense linear

subspace of an F - space X. The space X is uniquely determined up to isometric ...

Page 398

Let S be a Stone space and X C ( S ) the real continuous functions . Grothendieck

[ 4 ; p . 168 ] showed that every X - convergent sequence in X * is actually X ** -

convergent , and that if Y is a separable

...

Let S be a Stone space and X C ( S ) the real continuous functions . Grothendieck

[ 4 ; p . 168 ] showed that every X - convergent sequence in X * is actually X ** -

convergent , and that if Y is a separable

**B**-**space**, then any operator in B ( X , Y )...

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

### Common terms and phrases

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