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

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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
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     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/}
}
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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/