Article ID Journal Published Year Pages File Type
6418767 Journal of Mathematical Analysis and Applications 2014 7 Pages PDF
Abstract

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 τ(C[0,1]) of tauberian operators acting on C[0,1] is not open, and that T∈τ(C[0,1]) does not imply T⁎⁎ tauberian.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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