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A note on Köthe-Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers

Değirmen Nilay, Sağır Birsen

Journal of Applied Analysis

2024

Vol. 30, nr 2

301--310

In this paper, we generalize the notions of the Köthe-Toeplitz duals of sequence spaces by introducing the concepts of bicomplex α-dual, bicomplex β-dual and bicomplex γ-dual, and also we compute them for some bicomplex sequence spaces lp(𝔹ℂ) for 1 ≤ p ≤ ∞, c0(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.