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    On Some Topological and Geometric Properties of Some q-Cesaro Sequence Spaces
    (Mdpi, 2023) Yilmaz, Yilmaz; Akdemir, Ahmet Ocak
    Mathematical concepts are aesthetic tools that are useful to create methods or solutions to real-world problems in theory and practice, and that sometimes contain symmetrical and asymmetrical structures due to the nature of the problems. In this study, we investigate whether the sequence spaces X-q(p), 0= p<8, and X8, which are constructed by q-Cesaro matrix, satisfy some of the further properties described with respect to the bounded linear operators on them. More specifically, we answer to the question: Which of these spaces have the Approximation, Dunford-Pettis, Radon-Riesz and Hahn-Banach extension properties?. Furthermore, we try to investigate some geometric properties such as rotundity and smootness of these spaces.