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Let $(\cal A,\|\cdot\|)$ be a finite dimensional norm algebra (Banach Algebra). Can we say any thing about the amenability of $\cal A$. What if we impose some extra conditions on $\cal A$, say commutativity or the existence of a unit.

Thank you very much.

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Every finite-dimensional Banach algebra should be amenable. You can probably find this in the sources link on wikipedia. – Rasmus Oct 6 '12 at 7:27
@ Rasmus: If it is really easy to show could you tell me how should I start a proof. – Darkmoon Oct 7 '12 at 5:02

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