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arXiv · 2105.00179

Hyers-Ulam stability of isometries on bounded domains

Soon-Mo Jung
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Abstract

More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of $\mathbb{R}^n$ in 1981, V\"{a}is\"{a}l\"{a} improved Fickett's result significantly. In this paper, we will improve Fickett's theorem by proving the Hyers-Ulam stability of isometries defined on bounded subsets of $\mathbb{R}^n$ using a more intuitive method different from that used by V\"{a}is\"{a}l\"{a}.

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Soon-Mo Jung. 2021-05-01. Hyers-Ulam stability of isometries on bounded domains. https://arxiv.org/abs/2105.00179

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