The generalized multiplier space and its Köthe-Toeplitz and null duals

Davoud Foroutannia, Hadi Roopaei


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.


Multiplier space; alpha-, beta-, gama- and N-duals; difference sequence spaces; matrix domains.

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ISSN: 1331-0623 (Print), 1848-8013 (Online)