A Banach algebra is called contractible if for all Banach -bimodules (Helemskii 1989, 1997).
A -algebra is contractible if and only if it is finite-dimensional (Selivanov 1976).
A Banach algebra is called contractible if for all Banach -bimodules (Helemskii 1989, 1997).
A -algebra is contractible if and only if it is finite-dimensional (Selivanov 1976).
This entry contributed by Mohammad Sal Moslehian
Moslehian, Mohammad Sal. "Contractible Banach Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ContractibleBanachAlgebra.html