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
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 },
year = {1989},
volume = {_N_S_46},
number = {60},
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 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 %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/