Banach Algebras where the Singular Elements Are Removable Singularities

Lawrence A. Harris

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Let A be a C*-algebra with identity and suppose A has real rank 0. 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 show that then the function has a holomorphic extension to the entire open unit ball of A. Further, we show that this does not hold when A = C(S), where S is any compact Hausdorff space that contains a homeomorphic image of the interval [0, 1].

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Mar 1 2000

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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