Scalar characterization in Banach Jordan algebras

ISSN: 2619-9653
Başlangıç: 2018
Yayıncı: Emrah Evren KARA

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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