A. Bouziad

activity

20092022

collaborators

7 papers

math.FA2022

A note on the Schur and Phillips lemmas

Ahmed Bouziad

It is well-known that every weakly convergent sequence in $ℓ_{1}$ is convergent in the norm topology (Schur's lemma). Phillips' lemma asserts even more strongly that if a sequence…

math.GN2019

On proximal fineness of topological groups in their right uniformity

Ahmed Bouziad

A uniform space $X$ is said to be proximally fine if every proximally continuous map on $X$ into a uniform is uniformly continuous. We supply a proof that every topological group w…

math.GN2019

Preservation of uniform continuity under pointwise product

Ahmed Bouziad, Elena Sukhacheva

Let $X$ be a uniform space and $U (X)$ the linear space of real-valued uniformly continuous functions on $X$ . Our main objective is to give a number of properties characterizing the…

math.GN2010

Cliquishness and Quasicontinuity of Two Variables Maps

Ahmed Bouziad

We study the existence of continuity points for mappings $f : X \times Y \to Z$ whose $x$ -sections $Y ∋ y \to f (x, y) \in Z$ are fragmentable and $y$ -sections $X ∋ x \to f (x, y) \in Z$ ar…

math.GN2010

Lower Quasicontinuity, Joint Continuity and Related concepts

Ahmed Bouziad, Jean-Pierre Troallic

Let $X$ and $Y$ be topological spaces, let $Z$ be a metric space, and let $f : X \times Y \to Z$ be a mapping. It is shown that when $Y$ has a countable base $B$ , then under…

math.GR2010

Itzkowitz's problem for group of finite exponent

Ahmed Bouziad, Aicha Bareche

Itzkowitz's problem asks whether every topological group $G$ has equal left and right uniform structures provided that bounded left uniformly continuous real-valued function on $G$ …

math.GN2009

Some results on separate and joint continuity

Aicha Bareche, Ahmed Bouziad

Let $f : X \times K \to R$ be a separately continuous function and $C$ a countable collection of subsets of $K$ . Following a result of Calbrix and Troallic, there is…