International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 2, Pages 119-122
doi:10.1155/S0161171200001861
Noninclusion theorems: some remarks on a paper by J. A. Fridy
Fachbereich Mathematik, Fern Universität-Gesamthochschule, Hagen D 58084, Germany
Received 19 August 1998
Copyright © 2000 W. Beekmann. 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.
Abstract
In 1997, J. A. Fridy gave conditions for noninclusion of
ordinary and of absolute summability domains. In the present note,
these conditions are interpreted in a natural topological context
thus giving new proofs and also explaining why one of these
conditions is too weak. Also an open question posed in Fridy's paper is
answered.