Real Analysis Exchange

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

Tomáš Visnyai

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.rae/1403894909

Mathematical Reviews number (MathSciNet)
MR3261894

Zentralblatt MATH identifier
1298.26012

Subjects
Primary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}
Secondary: 54C30: Real-valued functions [See also 26-XX]

Keywords
continuous function quasicontinuous function

Citation

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


Export citation