## Linear Operators: General theory |

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Page 26

Hence the

Hence the

**identity**is a homeomorphism and the space is metrizable . Q.E.D. 7. Convergence and Uniform Convergence of Generalized Sequences The notion of convergence introduced in Definition 6.5 is not sufficiently general for all our ...Page 249

The

The

**identity**x + y2 + \ x-- y 2 = 2 \ x2 +2 \ y \ ?, X , Y EH , called the parallelogram**identity**, follows immediately from the axioms . If 8 inf x - k | the preceding**identity**shows that keK ki - k ; 2 x — k ; ) 2 +2 | x — k ; 2—4 \ x ...Page 414

Thus , if N is any neighborhood of the

Thus , if N is any neighborhood of the

**identity**, ( N + ko ) n ( N + p - A ) +0 . This means that ( N - N + ko ) n ( p - A ) + $ . If M is any neighborhood of the**identity**, there is a neighborhood N of the**identity**such that CO ( A ) ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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