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

Authors

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

Keywords:

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

Abstract

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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References

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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Published

2016-12-01

Issue

Vol. 31 No. 2 (2016)

Section

Banach Spaces

How to Cite

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