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Factorization of two-Lipschitz integral operators

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Abstract

We study the integrability and S-factorizability of two-Lipschitz operators between pointed metric spaces and Banach spaces. We also introduce a factorization theorem and examine its connection with the bi-linearization maps. Finally, we establish a relationship between these two classes of operators.

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Acknowledgements

The author thanks the anonymous referees for their careful reading and useful suggestions. We also acknowledge with thanks the support of the General Direction of Scientific Research and Technological Development (DGRSDT), Algeria.

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Correspondence to Khaled Hamidi.

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Communicated by Ion Nechita.

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Hamidi, K. Factorization of two-Lipschitz integral operators. Adv. Oper. Theory 9, 54 (2024). https://doi.org/10.1007/s43036-024-00354-5

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