A simple proof of the approximation by real analytic Lipschitz functions

作者：Johanis Michal^*

来源：Journal of Mathematical Analysis and Applications, 2012, 388(1): 1-7.

DOI：10.1016/j.jmaa.2010.10.050

• Approximation
• Real analytic
• Lipschitz

A theorem in Azagra et al. (preprint) [1] asserts that on a real separable Banach space with separating polynomial every Lipschitz function can be uniformly approximated by real analytic Lipschitz function with a control over the Lipschitz constant. We give a simple proof of this theorem.

• 出版日期2012-4-1