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    On Composition Operators of Fibonacci Matrix and Applications of Hausdorff Measure of Noncompactness
    (Soc Paranaense Matematica, 2022) Das, Anupam; Hazarika, Bipan; Kara, Emrah Evren; Basar, Feyzi
    The aim of the paper is introduced the composition of the two infinite matrices Lambda = (lambda(nk)) and (F) over cap = (f(nk)). Further, we determine the alpha-, beta-, gamma-duals of new spaces and also construct the basis for the space l(p)(lambda)((F) over cap). Additionally, we characterize some matrix classes on the spaces l(infinity)(lambda) ((F) over cap) and l(p)(lambda) ((F) over cap). We also investigate some geometric properties concerning Banach- Saks type p. Finally we characterize the subclasses K(X : Y) of compact operators by applying the Hausdorff measure of noncompactness, where X is an element of{l(infinity)(lambda) ((F) over cap), l(p)(lambda) ((F) over cap)} and Y is an element of{c(0), c, l(infinity), l(1), b(v)}, and 1 <= p < infinity.