Is there any examples of a Banach algebra which every ideal of it, is maximal ideal?
Or, Is there any conditions which turn all of the ideals of a Banach algebra to maximal ideals?
2025-01-13 05:18:51.1736745531
Is there any examples of a Banach algebra which every ideal of it, is a maximal ideal?
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Consider the reals under multiplication and addition. Then the only proper ideal is $0$. Thus every proper ideal is maximal.