## Linear Operators: General theory |

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Page 68

If x and y are both weak

If x and y are both weak

**limits**of a generalized sequence , then for each 2 * € X * ... Its**limit**æ is in the closed linear manifold determined by { xn } ...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

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**( iii ) lim $ 164 ( a ) dt ...Page 683

from Lemma 10 and Corollary 5.3 that the

from Lemma 10 and Corollary 5.3 that the

**limit**m = lim Mn exists in ca ( , u ) . By Corollary 5.2 , m ( q - le ) = m ( e ) , so that the map T : 10 ) → f ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

81 other sections not shown

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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space metric neighborhood norm operator positive measure problem Proc proof properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero