Scalar characterization in Banach Jordan algebras

Year 2018, Volume: 1 Issue: 2, 121 - 124, 26.06.2018

Abdelaziz Maouche

https://doi.org/10.32323/ujma.399537

Cited By: 1

Abstract

Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras. We also establish that any element of a semisimple Banach-Jordan algebra with the property that all elements in some neighbourhood of the identity are spectrally invariant under multiplication by the quadratic U operator, has analogs with the identity.

Keywords

Jordan algebra, Lipschitzian, scalar element, power bounded

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