Approximate biflatness and approximate biprojectivity of some Banach algebras

Abstract

In this paper, we study approximate biflatness and approximate biprojectivity of some Banach algebras. In fact, we characterize approximate bi atness of triangular Banach algebras. We also show under which conditions triangular Banach algebras are not approximately biprojective. As an application, we investigate approximate biflatness and approximate biprojectivity of some Banach algebras associated with a locally compact group.

Mathematics Subject Classication (2010): Primary: 46M10, 46H05; Secondary: 43A07, 43A20.