Algebraic Isomorphisms and Spectra of Triangular Limit Algebras: Erratum

Authors

Allan P. Donsig, University of Nebraska-LincolnFollow
David R. Pitts, University of Nebraska - LincolnFollow
S. C. Power, Lancaster UniversityFollow

Document Type

Article

Date of this Version

2005

Citation

Indiana University Mathematics Journal c , Vol. 54, No. 4 (2005)

Comments

2000 MATHEMATICS SUBJECT CLASSIFICATION: Primary: 47L40; Secondary: 47L50.

Abstract

We have found an error in the proof of Theorem 4.1 in [2]. This error affects only Theorems 4.1 and 4.3. As we have been unable to find an alternative proof of Theorem 4.1, we do not know if these theorems are true in full generality. Restricted to limit algebras generated by their order-preserving normalizers, the proof is correct. The theorems are known to be true in this case by somewhat different methods [1].