## Linear Operators: General theory |

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Page 68

The space X is said to be weakly complete if every weak Cauchy sequence has a

weak

such a way that they become Hausdorff spaces in which the notion of

convergence ...

The space X is said to be weakly complete if every weak Cauchy sequence has a

weak

**limit**. In Chapter V , a topology is introduced in certain linear spaces insuch a way that they become Hausdorff spaces in which the notion of

convergence ...

Page 127

It is evident that such a sequence has the

sequence { En } is one for which End En + 1 , n = 1 , 2 , . . . . Such a sequence has

the

non ...

It is evident that such a sequence has the

**limit**Un En . A non - increasingsequence { En } is one for which End En + 1 , n = 1 , 2 , . . . . Such a sequence has

the

**limit**n En . A monotone sequence is one which is either non - decreasing ornon ...

Page 658

Thus , from the physical point of view , the time T involved in the experiment is

large enough to give a good value for the

which , in physical theories , is assumed to exist . Thus , the mathematician is led

...

Thus , from the physical point of view , the time T involved in the experiment is

large enough to give a good value for the

**limit**. IT ( iii ) lim 18 + ( x ) ) dt , T - T Jo 'which , in physical theories , is assumed to exist . Thus , the mathematician is led

...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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