Spectral Rank of Maximal Finite-Rank Elements in Banach Jordan Algebras

Autores/as

  • Abdelaziz Maouche Department of Mathematics and Statistics, Faculty of Science Sultan Qaboos University, Oman

Palabras clave:

Banach Jordan algebra, spectral rank, maximal finite-rank element

Resumen

We give a new proof to a spectral characterisation of the spectral rank established by Aupetit by replacing his deep analytic arguments by the new characterisation of the connected component of the group of invertible elements obtained by O. Loos.

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Referencias

A. Bernard, Spectral characterization of the socle in Jordan-Banach algebras, Math. Proc. Cambridge Philos. Soc. 117 (3) (1995), 479 – 489.

O. Loos, On the set of invertible elements in Banach Jordan algebras, Results Math. 29 (1) (1996), 111 – 114.

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Publicado

2016-12-01

Número

Vol. 31 Núm. 2 (2016)

Sección

Banach Spaces

Cómo citar

Spectral Rank of Maximal Finite-Rank Elements in Banach Jordan Algebras. (2016). Extracta Mathematicae, 31(2), 119-121. https://revista-em.unex.es/index.php/EM/article/view/2605-5686.31.2.119