A Non-Associative Rickart's Dense-Range-Homomorphism Theorem

Authors: Palacios A.R.; Collado M.V.V.

Source: Quarterly Journal of Mathematics, Volume 54, Number 3, September 2003 , pp. 367-376(10)

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Abstract:

The aim of this paper is to discuss the non-associative side of a celebrated theorem of C. E. Rickart asserting the automatic continuity of dense range homomorphisms from complete normed associative algebras to complete normed strongly semisimple associative algebras. As the main result, we prove that associativity can be removed in Rickart's theorem whenever the range algebra is Jordan-admissible.

Document Type: Research article

Publication date: 2003-09-01

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The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.