Research Article

Approximate biflatness and approximate biprojectivity of some Banach algebras

Published in: Quaestiones Mathematicae
Volume 43 , issue 9 , 2020 , pages: 1273–1284

DOI: 10.2989/16073606.2019.1609115

Author(s): A. Sahami , Iran

Keywords: Primary: 46M10 , 46H05 , Secondary: 43A07 , 43A20 , Primary: 46M10 , 46H05 , Secondary: 43A07 , 43A20

Abstract

In this paper, we study approximate biflatness and approximate biprojectivity of some Banach algebras. In fact, we characterize approximate biflatness 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.

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