## Real Analysis Exchange

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

Tomáš Visnyai

#### 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 $l^{2}$.

#### Article information

Source
Real Anal. Exchange, Volume 38, Number 2 (2012), 499-510.

Dates
First available in Project Euclid: 27 June 2014

Visnyai, Tomáš. Strongly Separately Continuous and Separately Quasicontinuous Functions $f \colon l^{2} \to \mathbb{R}$. Real Anal. Exchange 38 (2012), no. 2, 499--510. https://projecteuclid.org/euclid.rae/1403894909