Unimodular functions and uniform boundedness
نویسندگان
چکیده
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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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1989
ISSN: 0214-1493
DOI: 10.5565/publmat_33189_11