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

González Ortiz, Manuel; Martínez Abejón, Antonio

doi:10.1016/j.jmaa.2013.08.026

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Identificadores

URI: http://hdl.handle.net/10902/7999

DOI: 10.1016/j.jmaa.2013.08.026

ISSN: 0022-247X

ISSN: 1096-0813

Fecha

2014

Derechos

Publicado en

Journal of Mathematical Analysis and Applications Volume 410, Issue 1, 1 February 2014, Pages 323-329

Editorial

Academic Press Inc.

Enlace a la publicación

http://dx.doi.org/10.1016/j.jmaa.2013.08.026

Palabras clave

Extension of operators

Tauberian operator

Resumen/Abstract

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.

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