Equivalence of Pseudo- and Approximate Amenability in Banach Algebras

@misc{ghahramani2026equivalence,
  title = {{Equivalence of Pseudo- and Approximate Amenability in Banach Algebras}},
  author = {Fereidoun Ghahramani and Maedeh Soroushmehr and Yong Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17428},
  eprint = {2609.17428},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17428},
  note = {CC0},
}

TY  - UNPB
TI  - Equivalence of Pseudo- and Approximate Amenability in Banach Algebras
AU  - Fereidoun Ghahramani
AU  - Maedeh Soroushmehr
AU  - Yong Zhang
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17428
UR  - https://arxiv.org/abs/2609.17428
AB  - We prove that pseudo-amenability implies approximate amenability for Banach algebras with a bounded approximate identity. Consequently, these two notions of generalized amenability are equivalent for such Banach algebras. Our proof closes a gap in the paper by F. Ghahramani and Y. Zhang, Pseudo-amenable and pseudo-contractible Banach algebras.
ER  -