关于𝜺-isometries在某些banach空间上弱稳定性的一个注记

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Science and Arts Pub Date : 2023-06-30 DOI:10.46939/j.sci.arts-23.2-a08

Minanur Rohman, I. Eryilmaz

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引用次数: 0

摘要

本文讨论了ε-等距在某些Banach空间上的弱稳定性。设f: X→Y为标准ε-等距。如果Y ^ *是严格凸,那么对于任何x x ^ * ^ *∈,有φ∈Y ^ *满足为φ为≡r =为x ^ *为,这样| < x ^ * x > - <φ,f (x) > |≤2 rε,x∈x。此外，我们证明如果X和Y都是L_P空间(1本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A NOTE ON WEAK STABILITY OF 𝜺-ISOMETRIES ON CERTAIN BANACH SPACES

In this paper, we will discuss the weak stability of ε-isometries on certain Banach spaces. Let f: X → Y be a standard ε-isometry. If Y^* is strictly convex, then for any x^*∈X^*, there is φ∈Y^* that satisfies ‖φ‖ ≡r=‖x^* ‖, such that |〈x^*,x〉-〈φ,f(x)〉|≤2rε,x∈X. Also, we show that if X and Y are both L_P spaces (1

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Journal of Science and Arts MULTIDISCIPLINARY SCIENCES-

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25.00%

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