arXiv subjects

F. Abtahi

Publications and source records attributed to F. Abtahi.

3 recordsLinked to original sources

arXiv2015

Segal Frechet algebras

Let (A,p_l)_{l\in\Bbb N} be a Frechet algebra. In this paper, we introduce the concept of Segal Frechet algebra and investigate known results about abstract Segal algebras, for Segal Frechet algebras. Also we recall the concept of approximate identities for topological algebras and provide some remarkable results for Segal Frechet algebras. Moreover, we verify ideal theorem for Frechet algebras and characterize closed ideals of Segal Frechet algebra (B,q_m)_{m\in\Bbb N} in (A,p_l)_{l\in\Bbb N}.

math.FA↗

arXiv2015

Character amenability and character inner amenability of morphism product of Banach algebras

Let $T$ be a Banach algebra homomorphism from a Banach algebra $\mathcal B$ to a Banach algebra $\mathcal A$ with $\|T\|\leq 1$. Recently it has been obtained some results about Arens regularity and also various notions of amenability of $\mathcal A\times_{T}\mathcal B$, in the case where $\mathcal A$ is commutative. In the present paper, most of these results have been generalized and proved for an arbitrary Banach algebra $\mathcal A$.

math.FA↗

arXiv2015

Some intersections of Lorentz spaces

Let (X,μ) be a measure space. For p, q\in (0,\infty] and arbitrary subsets P,Q of (0,\infty], we introduce and characterize some intersections of Lorentz spaces, denoted by ILp,Q(X,μ), ILJ,q(X,μ) and ILJ,Q(X,μ).

math.FA↗