Basar, FeyziKaraisa, Ali2024-02-232024-02-2320131537-744Xhttps://doi.org/10.1155/2013/349346https://hdl.handle.net/20.500.12452/14212We introduce the sequence space l(p)(lambda)(B) of none absolute type which is a p-normed space and BK space in the cases 0 < p < 1 and 1 <= p <= infinity , respectively, and prove that l(p)(lambda) (B) and l(p) are linearly isomorphic for 0 < 8. Furthermore, we give some inclusion relations concerning the space l(p)(lambda)(B) and we construct the basis for the space l(p)(lambda) (B), where 1 <= p <= infinity. Furthermore, we determine the alpha-, beta- and gamma-duals of the space l(p)(lambda) (B) for 1 <= p <= infinity. Finally, we investigate some geometric properties concerning Banach-Saks type p and give Gurarii's modulus of convexity for the normed space l(p)(lambda)(B)eninfo:eu-repo/semantics/openAccess[Keyword Not Available]Article2-s2.0-84890083661Q2WOS:000327338900001Q210.1155/2013/349346