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Article Dans Une Revue Proceedings of the Royal Society of Edinburgh: Section A, Mathematics Année : 2019

Ulam stability for some classes of C *-algebras

Résumé

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 .

Dates et versions

hal-03796332 , version 1 (04-10-2022)

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Paul Mckenney, Alessandro Vignati. Ulam stability for some classes of C *-algebras. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2019, 149 (1), pp.45-59. ⟨10.1017/S0308210517000397⟩. ⟨hal-03796332⟩
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