A Note on Köthe-Toeplitz Duals and Multiplier Spaces of Sequence Spaces Involving Bicomplex Numbers

Abstract

In this paper, we generalize the notions of the K & ouml;the-Toeplitz duals of sequence spaces by introducing the concepts of bicomplex alpha-dual, bicomplex beta-dual and bicomplex gamma-dual, and also we compute them for some bicomplex sequence spaces l(p)(BC) for 1 <= p <= infinity, c(0)(BC) and c(BC). Furthermore, we define a concept of bicomplex multiplier space as the bicomplex version of multiplier space of two sequence spaces and support this definition with examples.