Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 97
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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 :
40H05
@article{PIM_1989_N_S_46_60_a14,
author = {Eberhard Malkowsky},
title = {Absolute and {Ordinary} {K\"othe-Toeplitz} {Duals} of {Some} {Sets} of {Sequences} and {Matrix} {Transformations}},
journal = {Publications de l'Institut Math\'ematique},
pages = {97 },
publisher = {mathdoc},
volume = {_N_S_46},
number = {60},
year = {1989},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a14/}
}
TY - JOUR AU - Eberhard Malkowsky TI - Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations JO - Publications de l'Institut Mathématique PY - 1989 SP - 97 VL - _N_S_46 IS - 60 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a14/ LA - en ID - PIM_1989_N_S_46_60_a14 ER -
%0 Journal Article %A Eberhard Malkowsky %T Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations %J Publications de l'Institut Mathématique %D 1989 %P 97 %V _N_S_46 %N 60 %I mathdoc %U http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a14/ %G en %F PIM_1989_N_S_46_60_a14
Eberhard Malkowsky. Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations. Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 97 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a14/