TY - JOUR T1 - A Note on 2-Normed Grand Sequence Spaces TT - 2-Normlu Büyük Dizi Uzayları Üzerine Bir Not AU - Oğur, Oğuz PY - 2022 DA - June DO - 10.31466/kfbd.1031895 JF - Karadeniz Fen Bilimleri Dergisi JO - KFBD PB - Giresun Üniversitesi WT - DergiPark SN - 2564-7377 SP - 269 EP - 273 VL - 12 IS - 1 LA - en AB - In this paper, we define 2-normed grand sequence space by inspiration of (Gunawan, 2001) and (Rafeiro et. al., 2018). Also, we give some basic properties of these spaces. KW - Grand sequence space KW - 2-normed space KW - Lebesgue sequence space. N2 - Bu çalışmada, (Gunawan, 2001) ve (Rafeiro et. al., 2018) çalışmalarindan esinlenerek 2-normlu büyük dizi uzaylarını tanımladık. Ayrıca, bu uzayların bazı temel özelliklerini verdik. CR - Duyar, C., Kanber, O. and Sağır, B., (2016). On n-normed Cesaro sequence space Cesn,p. Int. Electron. J. Pure Appl. Math., 10(2): 151-159. CR - Duyar, C., Sağır, B. and Oğur, O., (2017). On a class of n-normed double sequences related to p-summable double sequence space l_p^((2)). E. J. Mathematical Anal. App., 5(1): 106-111. CR - Gahler, S., (1964). Lineare 2-normierte Raume, Math. Nachr., 28: 1-43. CR - Gunawan, H., (2001). The space of p-summable sequences and its natural n-norm. Bull. Austral. Math. Soc., 64, 137-147. CR - Iwaniec, T. and Sbordone, C., (1992). On the integrability of the Jacobian under minimal hypotheses, Arch. Ration. Mech. Anal., 119(2), 129-143. CR - Jain, P. and Kumari, S., 2010. On grand Lorentz spaces and the maximal operator, Math. Student, 79. CR - Oğur, O., (2018). Superposition operator on some 2-normed sequence spaces. Karaelmas Science and Engineering journal, 8(1), 288-291. CR - Oğur, O., (2020). Grand Lorentz sequence space and its multiplication operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics , 69 (1) , 771-781. CR - Rafeiro, H., Samko, S. and Umarkhadzhiev, S., (2018). Grand Lebesgue sequence spaces. Georgian Math. J., 19(2), 235-246. CR - Samko, S. and Umarkhadzhiev, S., (2017), On grand Lebesgue spaces on sets of infinite measure, Math. Nachr., 290, 913-919. CR - Swe, T. T., (2019). Bounded linear 2-functionals in linear 2-normed space. Dagon University Commemoration of 25. Anniversary Silver Jubilee Research Journal, 9, 203. UR - https://doi.org/10.31466/kfbd.1031895 L1 - https://dergipark.org.tr/tr/download/article-file/2113142 ER -