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arXiv · 2108.06392

Preserving operators on semiprime f-algebras

Jaber Jamel·Khalfaoui Adnen
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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.

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Jaber Jamel, Khalfaoui Adnen. 2021-08-13. Preserving operators on semiprime f-algebras. https://arxiv.org/abs/2108.06392

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