Nilpotent ideals in a class of Banach algebras-Reference-Cited by-同舟云学术

Nilpotent ideals in a class of Banach algebras

Published:1999-04-28 Issue:11 Volume:127 Page:3237-3242
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Zhang Yong

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-11/S0002-9939-99-04896-0/S0002-9939-99-04896-0.pdf

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