Examples of tauberian operators acting on C[0,1]

作者：Gonzalez Manuel; Martinez Abejon Antonio^*

来源：Journal of Mathematical Analysis and Applications, 2014, 410(1): 323-329.

DOI：10.1016/j.jmaa.2013.08.026

• Tauberian operator
• Extension of operators

We show that some counterexamples in the theory of tauberian operators can be realized as operators acting on C[0, 1]. Precisely, we show that the set tau(C[0, 1]) of tauberian operators acting on C[0, 1] is not open, and that T epsilon tau(C[0, 1]) does not imply T** tauberian.

• 出版日期2014-2-1