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

On the definition of real $W^*$ -algebras

Author(s): J. M. Isidro; A. Rodríguez Palacios
Journal: Proc. Amer. Math. Soc. 124 (1996), 3407-3410.
MSC (1991): Primary 46L10, 46L05
MathSciNet review: 1343702
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Abstract: We prove that, if $A$ is a real $C^*$ -algebra having a predual $A_*$ , then $A_*$ is the unique predual of $A$ and the product of $A$ is $\sigma (A,A_*)$ -continuous.

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Additional Information:

J. M. Isidro
Affiliation: Facultad de Matemáticas, Universidad de Santiago, 15706 Santiago de Compostela, Spain
Email: jmisidro@zmat.usc.es

A. Rodríguez Palacios
Affiliation: Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email: apalacios@goliat.ugr.es

DOI: 10.1090/S0002-9939-96-03498-3
PII: S 0002-9939(96)03498-3
Keywords: von Neumann algebras, well framed Banach spaces, uniqueness of preduals, automatic weak* continuity
Received by editor(s): May 8, 1995
Additional Notes: The authors were supported by Acción Integrada Hispano-Alemana HA 94 066 B
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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