International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1990 / Article

Open Access

Volume 13 |Article ID 856573 | https://doi.org/10.1155/S0161171290000394

Jesús Araujo, J. Martinez-Maurica, "A note on Tauberian operators", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 856573, 3 pages, 1990. https://doi.org/10.1155/S0161171290000394

A note on Tauberian operators

Received20 May 1988
Revised23 Aug 1988

Abstract

In this note we prove the existence of operators which are not Tauberian even though they satisfy properties about restrictions being Tauberian. The operators are defined on Banach spaces which contain a somewhat reflexive, non-reflexive subspace. This gives an answer to a question proposed by R. Neidinger [1].

Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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