Some matrix and compact operators of the absolute fibonacci series spaces

Abstract

In the present paper, we introduce the absolute Fibonacci space Fuk, give some inclusion relations and investigate topological and algebraic structure such as BK-space, ?-, ß-, ?-duals and Schauder basis. Further, we characterize certain matrix and compact operators on these spaces, also determine their norms and Hausdroff meausures of noncompactness. © 2020 University of Kragujevac, Faculty of Science.