Symmetrically pseudo-amenable Banach algebras
Functional Analysis
2024-05-09 v1
Abstract
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.
Cite
@article{arxiv.2405.04616,
title = {Symmetrically pseudo-amenable Banach algebras},
author = {Hoger Ghahramani and Parvin Zamani},
journal= {arXiv preprint arXiv:2405.04616},
year = {2024}
}