منابع مشابه
Uniform Boundedness Principle
The following two propositions are true: (1) For every sequence s1 of real numbers and for every real number r such that s1 is bounded and 0 ≤ r holds lim inf(r s1) = r · lim inf s1. (2) For every sequence s1 of real numbers and for every real number r such that s1 is bounded and 0 ≤ r holds lim sup(r s1) = r · lim sup s1. Let X be a real Banach space. One can verify that MetricSpaceNormX is co...
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The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...
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One of the remarkable things about this theorem is the way in which it suggests that geometry informs arithmetic. The geometric genus g is a manifestly geometric condition, yet it is controlling what seems to be an arithmetic property. Why should the number of integral solutions to xn + yn = zn have anything to do with the shape of the complex solutions? You might argue that that the genus is e...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2008
ISSN: 1898-9934,1426-2630
DOI: 10.2478/v10037-008-0003-5