Approximately biprojective Banach algebras and nilpotent ideals

Authors

  • Hasan Pourmahmood-Aghababa University of Tabriz

Keywords:

Banach algebras, Bounded approximately complemented subspaces, Nilpotent ideals, Approximate amenability, Pseudo-amenability, Approximate biprojectivity

Abstract

By introducing a new notion of approximate biprojectivity we show that nilpotent ideals in approximately amenable or pseudo-amenable Banach algebras, and nilpotent ideals with the nilpotency degree larger than 2 in biflat Banach algebras cannot have the special property which we call ''property B'' (Denition 5.2 below) and hence, as a consequence, they cannot be boundedly approximately complemented in those Banach algebras. DOI: 10.1017/S0004972712000251

Published

2012-12-18

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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