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Abstract
Let π¬ be a C*-algebra with identity and real rank zero. Suppose a complex- valued function is holomorphic and bounded on the intersection of the open unit ball of π¬ and the identity component of the set of invertible elements of π¬. We give a short transparent proof that the function has a holomorphic extension to the entire open unit ball of π¬. The author previously deduced this from a more general fact about Banach algebras.
Document Type
Article
Publication Date
1-15-2017
Digital Object Identifier (DOI)
https://doi.org/10.1016/j.jmaa.2016.01.053
Repository Citation
Harris, Lawrence A., "Removable Singularities in C*-Algebras of Real Rank Zero" (2017). Mathematics Faculty Publications. 38.
https://uknowledge.uky.edu/math_facpub/38
Notes/Citation Information
Published in Journal of Mathematical Analysis and Applications, v. 445, issue 2, p. 1390-1393.
Β© 2016 Elsevier Inc. All rights reserved.
This manuscript version is made available under the CCβBYβNCβND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/.
The document available for download is the author's post-peer-review final draft of the article.