Applications of inverse limits to extensions of operators and approximation of Lipschitz functions

[摘要] We consider extensions of linear operators from finite dimensional subspaces. As a corollary of Steenrod's theorem about inverse limits of topological spaces, we obtain new results concerning approximation in tensor product spaces and the stability of the Cauchy functional equation. (C) 2002 Elsevie Science (USA).

[发布日期] 2002-06-01

[效力级别]  Proceedings Paper

[关键词] extension;approximation;Lipschitz function;inverse limit