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On a new approximation of approximately linear mappings by linear mappings. (English) Zbl 0592.46004
Assume A is a normed linear space, B is a Banach space, and \(f: A\to B\) is a mapping ”approximately linear”. In this paper we solve the following Ulam Problem: ”Give conditions in order for a linear mapping near an approximately linear mapping to exist”.

MSC:
46A32 Spaces of linear operators; topological tensor products; approximation properties
46B20 Geometry and structure of normed linear spaces
41A30 Approximation by other special function classes
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