Compact sets of functions and function rings
نویسندگان
چکیده
منابع مشابه
Compact Sets of Functions and Function Rings
A widely used theorem of analysis asserts that a uniformly bounded, equicontinuous family of functions has a compact closure in the space of continuous functions. This lemma, variously attributed to Arzela, Escoli, Montel, Vitali, and so on, is of importance in the theory of integral equations, conformal mapping, calculus of variations, and so on. In recent years the lemma has been generalized ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1950
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1950-0036503-x