Nilpotent ideals in a class of Banach algebras

Zhang, Yong

doi:10.1090/S0002-9939-99-04896-0

Nilpotent ideals in a class of Banach algebras
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by Yong Zhang PDF

Proc. Amer. Math. Soc. 127 (1999), 3237-3242 Request permission

Abstract:

We introduce the concepts of approximately complemented subspaces of normed spaces and approximately biprojective algebras. We prove that any approximately biprojective Banach algebra with left and right approximate identities does not have a nontrivial nilpotent ideal whose closure is approximately complemented.

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