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

Davoud Foroutannia; Hadi Roopaei

Vol. 22 No. 2 (2017)

Regular Articles

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

Published 2017-05-02

Davoud Foroutannia
Hadi Roopaei

Davoud Foroutannia
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Hadi Roopaei
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

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Abstract

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.

Keywords

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

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Author Biography

Davoud Foroutannia

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