Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A Dixmier-Schaefer-Zhang theorem for operator algebras

Author(s): L. J. Bunce; Kazuyuki Saitô; J. D. Maitland Wright
Journal: Proc. Amer. Math. Soc. 127 (1999), 2975-2979.
MSC (1991): Primary 46L05, 28A60
Posted: April 28, 1999
MathSciNet review: 1610924
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Abstract | References | Similar articles | Additional information

Abstract: Schaefer and Zhang have recently obtained an analogue, for sequentially order continuous functionals on , of a much earlier theorem of Dixmier. In this note it is shown that the Schaefer-Zhang Theorem has a natural generalisation to non-commutative -algebras. These results are obtained as consequences of our main theorem which is concerned with affine functions on compact convex sets.

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