Scalar characterization in Banach Jordan algebras

Authors : Abdelaziz Maouche

Pages : 121-124

Doi:10.32323/ujma.399537

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Publication Date : 2018-06-26

Article Type : Research

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