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Relationship between Generalized Orthogonality and Gâteaux Derivative

This paper investigates the relationship between generalized orthogonality and Gâteaux derivative of the norm in a normed linear space. It is shown that the Gâteaux derivative of <i>x</i> in the <i>y</i> direction is zero when the norm is Gâteaux differentiable in the <i>y</i> direction at <i>x</i>...

詳細記述

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書誌詳細
主要な著者: Peixuan Xu, Donghai Ji, Hongxu Zhang
フォーマット: Artigo
言語:Inglês
出版事項: MDPI AG 2024-01-01
シリーズ:Mathematics
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オンライン・アクセス:https://www.mdpi.com/2227-7390/12/3/364
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