Finite dimensionality in scole of Banach algebras

Sin-Ei Takahasi

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-4

Abstract:

It is shown that if the socle soc ( A ) of a semisimple Banach algebra A is norm-closed, then soc ( A ) is already finite dimensional. The proof makes use of the Al-Moajil theorem. However it is remarked that our main theorem is an extension of the Al-Moajil's.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:972527

DOI: 10.1155/S0161171284000570

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