The generalized multiplier space and its Köthe-Toeplitz and null duals
Foroutannia, Davoud ; Roopaei, Hadi
Mathematical Communications, Tome 22 (2017) no. 1, p. 273-285 / Harvested from Mathematical Communications
The purpose of the present study is to generalize the multiplier space for introducing the concepts of alphaB-, betaB-, gamaB-duals and NB-duals, where B = (b_{n,k}) is an infinite matrix with real entries. Moreover, these duals are computed for the sequence spaces X and X(\delta), where X\in{l_p; c; c_0} and 1< p<\infty.
Publié le : 2017-08-13
Classification:  Multiplier space; alpha-, beta-, gama- and N-duals; difference sequence spaces; matrix domains.,  40A05, 40C05, 46A45.
@article{mc2139,
     author = {Foroutannia, Davoud and Roopaei, Hadi},
     title = {The generalized multiplier space and its K\"othe-Toeplitz and null duals},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 273-285},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2139}
}
Foroutannia, Davoud; Roopaei, Hadi. The generalized multiplier space and its Köthe-Toeplitz and null duals. Mathematical Communications, Tome 22 (2017) no. 1, pp.  273-285. http://gdmltest.u-ga.fr/item/mc2139/