M. Fozouni

activity

20142018

most citedN-multipliers and their relations with n-homomorphisms

3 citations · 4 across the 9 of their papers we have counts for

collaborators

10 papers

math.FA2018

On a question related to bounded approximate identities of ideals in Banach algebras

Mohammad Fozouni

In this paper we give an example of a Banach algebra $A$ and a closed ideal $I$ of $A$ such that the multiplier algebra of $I$ is equal to $A$ but $I$ does not have any bounded app…

math.FA2017★ 1 cited

On character space of the algebra of BSE-functions

Mohammad Fozouni

Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{BSE} (Δ (A))$ consisting of…

math.FA2016

BSE-property for some certain Segal and Banach algebras

Mohammad Fozouni, Mehdi Nemati

For a commutative semi-simple Banach algebra $A$ which is an ideal in its second dual we give a necessary and sufficient condition for an essential abstract Segal algebra in ${A}…

math.FA2015

On two refinements of the bounded weak approximate identities

Mohammad Fozouni, Raziyeh Farrokhzad

Let $A$ be a commutative Banach algebra with non-empty character space $Δ (A)$ . In this paper, we change the concepts of convergence and boundedness in the classical notion of bound…

math.FA2015

BSE property for some certain Segal algebras with applications to the Fourier algebra

Mohammad Fozouni

In this paper, we study the BSE-property for some certain Segal algebras. As an application, we give some results on subalgebras of the Fourier algebra and provide a wide range of…

math.FA2015

Generalized injectivity of Banach modules

Mohammad Fozouni

In this paper, we study the notion of $ϕ$ -injectivity in the special case that $ϕ = 0$ . For an arbitrary locally compact group $G$ , we characterize the 0-injectivity of $L^{1} (G)$ as…

math.FA2014

Closed ideals with bounded $Δ$ -weak approximate identities in some certain Banach algebras

Javad Laali, Mohammad Fozouni

It is shown that a locally compact group $G$ is amenable if and only if some certain closed ideals of the Figà-Talamanca-Herz algebra $A_{p} (G)$ admit bounded $Δ$ -weak approximate…

math.FA2014

On $Δ$ -weak $ϕ$ -amenability of Banach algebras

Javad Laali, Mohammad Fozouni

Let $A$ be a Banach algebra and $ϕ \in Δ (A) \cup {0}$ . We say that $A$ is $Δ$ -weak $ϕ$ -amenable if there exists an $m \in A^{**}$ such that $m (ϕ) = 0$ and $m (ψ . a) = ψ (a)$ for each $ψ\in…

math.FA2014

Amenable groups and bounded $Δ$ -weak approximate identities

Mohammad Fozouni

Let $A$ be a Banach algebra with a non-empty character space. We say that a bounded net ${e_{α}}$ in $A$ is a bounded $Δ$ -weak approximate identity for $A$ if, for each $a \in A$ an…

math.FA2014★ 3 cited

N-multipliers and their relations with n-homomorphisms

Javad Laali, Mohammad Fozouni

Let $A$ be a Banach algebra and $X$ be a Banach $A$ -bimodule. We introduce and study the notions of $n$ -multipliers and approximate local $n$ -multipliers by generalizing the classi…

On a question related to bounded approximate identities of ideals in Banach algebras

On character space of the algebra of BSE-functions

BSE-property for some certain Segal and Banach algebras

On two refinements of the bounded weak approximate identities

BSE property for some certain Segal algebras with applications to the Fourier algebra

Generalized injectivity of Banach modules

Closed ideals with bounded Δ-weak approximate identities in some certain Banach algebras

On Δ-weak ϕ-amenability of Banach algebras

Amenable groups and bounded Δ-weak approximate identities

N-multipliers and their relations with n-homomorphisms

Closed ideals with bounded $Δ$ -weak approximate identities in some certain Banach algebras

On $Δ$ -weak $ϕ$ -amenability of Banach algebras

Amenable groups and bounded $Δ$ -weak approximate identities