A generalization of Gelfand-Mazur theorem
In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000481 |
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| Summary: | In this paper, we show that if A is a unital semisimple complex Banach algebra with
only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this
generalizes the Gelfand-Mazur theorem. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |