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Self-adjointness in unitary isotopes of JB*-algebras

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Abstract.

We prove that x is in the norm closure of invertibles whenever x is self-adjoint in some unitary isotope of a JB*-algebra. In the sequel, we investigate certain links between the elements of the unit ball which are self-adjoint in some unitary isotope of a JB*-algebra and the elements which are average of two unitaries.

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Correspondence to Akhlaq A. Siddiqui.

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Received: 9 September 2005

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Siddiqui, A.A. Self-adjointness in unitary isotopes of JB*-algebras. Arch. Math. 87, 350–358 (2006). https://doi.org/10.1007/s00013-006-1718-6

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  • DOI: https://doi.org/10.1007/s00013-006-1718-6

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