TY - JOUR ID - 1921 TI - On generalizations of vector and Banach spaces by hyperstructres JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Ostadhadi dehkordi, Sohrab AU - Shum, Kar Ping AD - Department of mathematics, University of Hormozgan, Hormozgan, Bandar abbas, Iran. AD - Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China Y1 - 2020 PY - 2020 VL - 7 IS - 2 SP - 163 EP - 177 KW - Hypernorm KW - Krasner $(m KW - n)$-hyperfield KW - $m$-ary hyper Banach space KW - $m$-ary hypervector space DO - 10.22034/as.2020.1921 N2 - In this paper,  we generalize the vector space by considering the group as a canonical $m$-ary hypergroup, the field as a Krasner $(m,n)$-hyperfield. Moreover, we define  the $m$-ary hyper Banach spaces and  investigate some of their related properties. UR - https://as.yazd.ac.ir/article_1921.html L1 - https://as.yazd.ac.ir/article_1921_f4dde424f33ef6c6b6aa25fd9afddec7.pdf ER -