Absolute and ordinary Köthe-Toeplitz duals of some generalized sets of difference sequences (Q1876325)

The author determines the \(\beta\)- and \(\gamma\)-duals (ordinary Köthe-Toeplitz duals) of the sets \(\Delta^m \ell_\infty(p)\) and \(\Delta^m c(p)\) and the \(\gamma\)-duals (absolute Köthe-Toeplitz duals) of the sets \(\Delta^mc_0(p)\) and \(\Delta^mc(p)\) defined by \textit{M. Et} and \textit{M. Başarir} [Period. Math. Hung. 35, No. 3, 169--175 (1997; Zbl 0922.40003)]. (The \(\beta\)- and \(\gamma\)-duals of \(\Delta^mc_0(p)\) and \(\Delta^mc(p)\) were already determined by Et and Başarir.)