ON SEPARATELY CONTINUOUS FUNCTIONS f: ℓ 2 → R

In this paper the notions of separately continuous and strongly separately continuous functions f:l 2 →R are introduced and properties of such functions are investigated. The obtained results are compared with the corresponding known results for functions defined on R m (m≥2). It is shown that there are several interesting and essential differences between properties of (strongly) separately continuous functions defined on l 2 and properties of (strongly) separately continuous functions defined on R m .