On symmetry of Banach Jordan algebras
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- by B. Aupetit and M. A. Youngson PDF
- Proc. Amer. Math. Soc. 91 (1984), 364-366 Request permission
Abstract:
Using a very simple subharmonic argument we prove that a Banach Jordan algebra is Hermitian if and only if the sum of two positive elements is positive. We apply this result to give a characterization of Banach Jordan algebras with involution which are $J{B^ * }$-algebras for an equivalent norm.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 364-366
- MSC: Primary 46H70; Secondary 17C65, 46K05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0744630-7
- MathSciNet review: 744630