Enveloping dual Banach algebra and contractibility and homological properties

For a Banach algebra A, we show that F(A), its enveloping dual Banach algebra, is contractible if A is contractible. We also characterize some homological properties of F(A) such as biflatness and biprojectivity in term of biflatness and biprojectivity of the second dual A**.

کلیدواژه ها:

Enveloping dual Banach algebra ، Contractibility