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Zabreiko’s lemma in 2-normed space and its applications

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Abstract

We prove the Zabreiko’s lemma in 2-Banach spaces. As an application we shall prove a version of the closed graph theorem and open mapping theorem.

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Acknowledgements

UGC FRP program, India.

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  1. Department of Mathematics, Institute of Chemical Technology, Mumbai, Nathalal Parekh marg, Mumbai, Maharashtra, 400019, India

    Akshay S. Rane

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  1. Akshay S. Rane
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Rane, A.S. Zabreiko’s lemma in 2-normed space and its applications. J Anal 32, 659–668 (2024). https://doi.org/10.1007/s41478-023-00645-9

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  • DOI: https://doi.org/10.1007/s41478-023-00645-9

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