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math.FA2020★ 7 cited
Surjective homomorphisms from algebras of operators on long sequence spaces are automatically injective
Bence Horváth, Tomasz Kania
We study automatic injectivity of surjective algebra homomorphisms from , the algebra of (bounded, linear) operators on , to , where is one o…
math.FA2020★ 2 cited
Perturbations of surjective homomorphisms between algebras of operators on Banach spaces
Bence Horváth, Zsigmond Tarcsay
A remarkable result of Molnár [Proc. Amer. Math. Soc., 126 (1998), 853-861] states that automorphisms of the algebra of operators acting on a separable Hilbert space is stable unde…