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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 t(C[0, 1]) of tauberian operators acting on C[0, 1] is not open, and that T?t(C[0, 1]) does not imply T** tauberian.
Fuente: Journal of Mathematical Analysis and Applications Volume 410, Issue 1, 1 February 2014, Pages 323-329
Year of publication: 2014
No. of pages: 16
Publication type: Article
DOI: 10.1016/j.jmaa.2013.08.026
ISSN: 0022-247X,1096-0813
Publication Url: http://dx.doi.org/10.1016/j.jmaa.2013.08.026
Consult in UCrea Read publication
MANUEL GONZALEZ ORTIZ
MARTÍNEZ-ABEJÓN, ANTONIO
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