$ \omega_{\mathcal{L}} $-Helemskii Biflat Banach Algebras and $ \omega_{\mathcal{L}} $-Amenable Banach Algebras
Abstract
For a continuous endomorphism $ \omega $ on a Banach algebra, we define $ \omega_{\mathcal{L}} $ -Helemskii biflatness and $ \omega_{\mathcal{L}} $ -amenability for Banach algebras and then consider the relations between these notions. Moreover, we show that $ l^{1}(_{\vee}) $ enjoys $ \omega_{\mathcal{L}} $ -Helemskii biflatness.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Banach Space Theory
Advanced Topics in Algebra
Publication details
- Journal / source
- Siberian Mathematical Journal
- Volume
- 67
- Issue
- 1
- Pages
- 167–173
- Publication date
- 1 January 2026
- Language
- EN