Completeness of normed linear spaces admitting centers
نویسندگان
چکیده
منابع مشابه
On Linear Functional Equations and Completeness of Normed Spaces
The aim of this note is to give a type of characterization of Banach spaces in terms of the stability of functional equations. More precisely, we prove that a normed space X is complete if there exists a functional equation of the type n ∑ i=1 aif(φi(x1, . . . , xk)) = 0 (x1, . . . , xk ∈ D) with given real numbers a1, . . . , an, given mappings φ1 . . . , φn : D k → D and unknown function f : ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1985
ISSN: 0263-6115
DOI: 10.1017/s1446788700026136