arXiv subjects

Parvin Zamani

Publications and source records attributed to Parvin Zamani.

2 recordsLinked to original sources

arXiv2024

Jordan and Lie derivations of $ϕ$-Johnson amenable Banach algebras

Let U be a $ϕ$-Johnson amenable Banach algebra in which $ϕ$ is a non-zero multiplicative linear functional on U. Suppose that X is a Banach U-bimodule such that $a.x=ϕ(a)x$ for all a in U and x in X or $x.a=ϕ(a)x$ for all a in U and x in X. We show that every continuous Jordan derivation from U to X is a derivation, and every continuous Lie derivation from U to X decomposed into the sum of a continuous derivation and a continuous center-valued trace.

math.FA↗

arXiv2024

Symmetrically pseudo-amenable Banach algebras

We introduce and study a new notion of amenability called symmetric pseudo-amenability. We obtain some properties of symmetrically pseudo-amenable Banach algebras and with examples, we compare this type of amenability with some other types of amenability. We also provide some special classes of symmetrically pseudo-amenable Banach algebras. Finally, Jordan and Lie derivations from a class of Banach algebras into appropriate Banach bimodules are investigated using the notion of symmetric pseudo-amenability.

math.FA↗