Let A 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 A and the identity component of the set of invertible elements of A. We give a short transparent proof that the function has a holomorphic extension to the entire open unit ball of A. The author previously deduced this from a more general fact about Banach algebras.
|Number of pages||4|
|Journal||Journal of Mathematical Analysis and Applications|
|State||Published - Jan 15 2017|
Bibliographical notePublisher Copyright:
© 2016 Elsevier Inc.
- Infinite dimensional holomorphy
- Weak (FU)
ASJC Scopus subject areas
- Applied Mathematics