Transactions of the American Mathematical Society

Author(s): A. P. Donsig; T. D. Hudson; E. G. Katsoulis
Journal: Trans. Amer. Math. Soc. 353 (2001), 1169-1182.
MSC (2000): Primary 47D25, 46K50, 46H40
Posted: November 17, 2000
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We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider the consequences of this result. In particular, we give partial solutions to a conjecture and an open problem by Power. As a further consequence, we describe epimorphisms between various classes of limit algebras.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 47D25, 46K50, 46H40

A. P. Donsig
Affiliation: Department of Mathematics and Statistics, University of Nebraska at Lincoln, Lincoln, Nebraska 68588-0323
Email: adonsig@math.unl.edu

T. D. Hudson
Affiliation: Department of Mathematics, East Carolina University, Greenville, North Carolina 27858--4353
Email: tdh@math.ecu.edu

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