Abstract. In this paper properties of bounded 2-linear operators from a 2-normed set into a normed space are considered. The space of these operators is a Banach space and a symmetric 2-normed space. In the third part we will formulate Banach-Steinhaus Theorems for a family of bounded 2-linear operators from a 2-normed set into a Banach space.
2000 Mathematics Subject Classification. 46A32, 47B99.
Key words and phrases. 2-normed set, 2-normed space, bounded 2-linear operator, Banach-Steinhaus theorems.