Strongly Separately Continuous and Separately Quasicontinuous Functions \(f \colon l^{2} \to \mathbb{R}\)

Abstract

In this paper we give a sufficient condition for the strongly separately continuous functions to be continuous on \(l^{2}\). Further we shall give notions of a separately quasicontinuous function \(f:l^2\to R\) and its properties. At the end we will expecting to determining sets \(M \subset l^{2}\) for the class of separately continuous functions on \(l^{2}\).