Abstract
Basic results for nonlinear operators are given. These results include nonlinear versions of the classical uniform boundedness theorem and Hahn-Banach theorem. Further, mappings of a metrizable space into another normed space can belong to some normed spaces if one defines suitable norms.
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References
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W. H. Wei, arXiv: 1904.01900.
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Russian Text © The Author(s), 2020, published in Funktsional’nyi Analiz i Ego Prilozheniya, 2020, Vol. 54, No. 1, pp. 63–68.
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Wei, W.H. On the Development of Nonlinear Operator Theory. Funct Anal Its Appl 54, 49–52 (2020). https://doi.org/10.1134/S0016266320010062
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DOI: https://doi.org/10.1134/S0016266320010062