On generalizations of vector and Banach spaces by hyperstructres

نویسندگان
Ostadhadi Dehkordi, Sohrab ID 1
Shum, Kar Ping ID 2

1 Department of mathematics, University of Hormozgan, Hormozgan, Bandar abbas, Iran.

2 Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China

doi
10.22034/as.2020.1921
چکیده

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.

کلیدواژه‌ها
Hypernorm, Krasner $(m, n)$-hyperfield, $m$-ary hyper Banach space, $m$-ary hypervector space