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Nilpotent Ideals in a Class of Banach Algebras

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... Full description

1st Person: Zhang, Yong
Source: in Proceedings of the American Mathematical Society Vol. 127, No. 11 (1999), p. 3237-3242
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Type of Publication: Article
Language: English
Published: 1999
Keywords: research-article
Primary 46H10
Secondary 46H20, 46B25, 46A32
Nilpotent ideals
Approximately complemented
Approximately biprojective
Amenable Banach algebras
Contractible Banach algebras
Online: Volltext
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