Preserving operators on semiprime f-algebras

DOI10.1007/S11117-022-00902-4arXiv2108.06392MaRDI QIDQ6375205

Publication date: 13 August 2021

Abstract: It is an open problem whether a separating operator acting between semiprime f-algebras is a weighted composition operator ( AAB). We prove that the answer is positive if and only if the separating operator is almost contractive. As a consequence, we can generalized and strengthen some well-known results on separating operators.

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Rings and algebras of continuous, differentiable or analytic functions (46E25)

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