Gleason–Kahane–Żelazko Theorem for Bilinear Maps
Let A and B be two unital Banach algebras and 𝔘 = A × B. We prove that the bilinear mapping φ: 𝔘 → ℂ is a bi-Jordan homomorphism if and only if φ is unital, invertibility preserving and jointly continuous. Additionally, if A is commutative, then φ is a bi-homomorphism.
| Autor principal: | |
|---|---|
| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
Sciendo
2022-09-01
|
| coleção: | Annales Mathematicae Silesianae |
| Assuntos: | |
| Acesso em linha: | https://doi.org/10.2478/amsil-2022-0017 |