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Linear isomorphic Euler fractional difference sequence spaces and their Toeplitz duals
Kuldip Raj,Mohammad Aiyub,Kavita Saini 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In the present paper we introduce and study Euler sequence spaces of fractional difference and backward difference operators. We make an effort to prove that these spaces are BK-spaces and linearly isomorphic. Further, Schauder basis for Euler fractional difference sequence spaces e_{0,p}^{\varsigma}(\Delta^{(\tilde{\beta})},\nabla^{m}) and e_{c,p}^{\varsigma}(\Delta^{(\tilde{\beta})},\nabla^{m}) are also elaborate. In addition to this, we determine the \alpha-, \beta- and \gamma- duals of these spaces.