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On the Removability Property of φ-Natural Domains in Real Banach Spaces

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  • Yuehui He
  • Ji Gao

Abstract

In this paper, we investigate the removability of φ-natural domains in Banach spaces. Let E be a real Banach space with dimension at least 2, G a domain in E, and let be a countable subset of G which satisfies a quasi hyperbolic separation condition. Then, G is φ-natural if and only if G is ψ-natural, quantitatively.

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  • Yuehui He & Ji Gao, 2022. "On the Removability Property of φ-Natural Domains in Real Banach Spaces," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, July.
    • Handle: RePEc:hin:jjmath:8617936
    DOI: 10.1155/2022/8617936
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