Original scientific paper

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

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

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

Hrčak ID:

185988

URI

https://hrcak.srce.hr/185988

Publication date:

4.12.2017.

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