Fatemeh Abtahi

WEIGHTED L P -CONJECTURE FOR LOCALLY COMPACT GROUPS

Let G be a locally compact group, ω be a weight function on G and 1 < p < ∞. Here, we give a sufficient condition for that the weighted Lp-space Lp(G, ω) is a Banach algebra. Also, we get some necessary conditions on G and the weight function ω for Lp(G, ω) to be a Banach algebra. As a consequence, we show that if G is abelian and Lp(G, ω) is a Banach algebra, then G is σ-compact.

BIPROJECTIVITY AND BIFLATNESS OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM

Let ϕ be a homomorphism from a Banach algebra \(\mathcal B\) to a Banach algebra \(\mathcal A\). We define a multiplication on the cartesian product space \(\mathcal A\) × \(\mathcal B\) and obtain a new Banach algebra \(\mathcal A\)×ϕ \(\mathcal B\). We show that biprojectivity as well as biflatness of \(\mathcal A\) ×ϕ \(\mathcal B\) are stable with respect to ϕ. DOI: 10.1017/S0004972714000483

Semisimple Segal Fréchet algebras

In this paper, we recall the concept of Segal Fréchet algebra in a Fréchet algebra

Segal Frechet algebras

({\mathcal {A}},p_{\ell })

Convolution on L p-spaces of a locally compact group

(A,pℓ) and show that in some cases, every continuous linear left multiplier on

On a functional equation with a symmetric component

({\mathcal {A}},p_{\ell })