On an extension of localization theorem and generalized Conner conjecture
نویسندگان
چکیده
منابع مشابه
An Extension of E. Bishop's Localization Theorem
We prove that if f is a function belonging to Baire first class on a compact set K/C and each point of K has a (closed) neighborhood where f is the pointwise limit of some sequence of uniformly bounded rational functions, then f on the whole of K is the pointwise limit of a sequence of rational functions uniformly bounded on K. This is an extension of Bishop's localization theorem. As an applic...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1982-0637697-0