EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 46(60), pp. 97--103 (1989)

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Absolute and ordinary K{ö}the-Toeplitz duals of some sets of sequences and matrix transformations

Eberhard Malkowsky

Mathematisches Institut, Justus-Liebig-Universit{ä}t Iheringstrasse 6, D-6300 Giessen, West Germany

Abstract: We determine the ordinary Köthe--Toeplitz dual of the set $\Delta l_\infty(p)$ and the absolute Köthe--Toeplitz duals of the sets $\Delta l_{\infty}(p)$, $\Delta c_0(p)$ and $\Delta c(p)$ defined by Ahmad and Mursaleen. Further we investigate matrix transformations in these spaces and give a characterization of the class $\bigl(\Delta l_\infty(p),l_\infty\bigr)$.

Classification (MSC2000): 40H05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition