几类C* 代数的Ulam稳定性
Ulam stability for some classes of C*-algebras
摘要：
证明了某些C* 代数的稳定性结果。我们证明了，只要$A$是一个有限维C* 代数，$B$是一个C* 代数，$ϕ\colon A\to B$近似是一个$^*$ -同态，那么就有一个实际的$^*$ -同态接近$ϕ$，其因子只取决于$ϕ$离$^*$ -同态有多远，而不取决于$A$或$B$ .
英文摘要：
We prove some stability results for certain classes of C*-algebras. We prove that whenever $A$ is a finite-dimensional C*-algebra, $B$ is a C*-algebra and $ϕ\colon A\to B$ is approximately a $^*$-homomorphism then there is an actual $^*$-homomorphism close to $ϕ$ by a factor depending only on how far is $ϕ$ from being a $^*$-homomorphism and not on $A$ or $B$.
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