Ulam stability for some classes of C*-algebras

Ulam stability for some classes of C*-algebras
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某些 C* 代数类的 Ulam 稳定性

DOI:
10.1017/s0308210517000397
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发表时间:
2016
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
A. Vignati
A. Vignati
中科院分区:
--
文献类型:
--
作者:
P. McKenney;A. Vignati

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我们证明了某些类C*-代数的稳定性结果。证明了:当A是有限维C*-代数,B是C*-代数,且λ:A → B近似是一个 *-同态时,存在一个实际的 *-同态,它以一个因子接近λ,这个因子只取决于λ离 *-同态的距离,而不取决于A或B.
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: A → B is approximately a *-homomorphism, there is an actual *-homomorphism close to ϕ by a factor depending only on how far ϕ is from being a *-homomorphism and not on A or B.
DOI: 10.1007/s11511-012-0075-5
发表时间: 2009-10
期刊: Acta Mathematica
影响因子: 3.7
作者:
Erik Christensen;A. Sinclair;Roger R. Smith;Stuart White;W. Winter
通讯作者: Erik Christensen;A. Sinclair;Roger R. Smith;Stuart White;W. Winter