D-Topological duals of bicomplex BC-modules l_{p}^{k}(BC)

Nilay Değirmen, Birsen Sağır

Abstract


In this paper, we present the concept of D-topological dual of a BC-module X with a D-norm ‖.‖_{D,X}  and we find D-topological duals of D-normed bicomplex BC-modules l_{p}^{k}(BC) for 1≤p<∞. We also investigate some fundamental topological properties of bicomplex BC-modules l_{p}^{k}(BC) by defining some topological concepts such as solid space, monotone space, BK-space, symmetric space in the bicomplex setting by using the D-norm |.|_{k}.

Keywords


D-topological dual, bicomplex BC-module, D-solid space, D-monotone space, D-normed BK-space, D-symmetric space.

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