The NC property for Banach algebras, and C^*-equivalence

Spain, P. G. (2017) The NC property for Banach algebras, and C^*-equivalence. Working Paper. Researchgate.

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Abstract

Consider a unital Banach algebra A having the NC property: that 1 − A + 1 ⊆ A + 1 . Then | h | σ = ||h|| (h ∈ A+). Any unital hermitian Banach ∗-algebra with this property is therefore C ∗ -equivalent.

Item Type:Research Reports or Papers (Working Paper)
Status:Published
Refereed:No
Glasgow Author(s) Enlighten ID:Spain, Dr Philip
Authors: Spain, P. G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Researchgate
Copyright Holders:Copyright © 2017 The Author
Publisher Policy:Reproduced with the permission of the Author
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