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Finite dimensionality in scole of Banach algebras
Sin-Ei Takahasi
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Source: Crossref
Published: Jan 1, 1984
DOI: 10.1155/s0161171284000570
Open original source ↗Source 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.
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