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<p>We study surjective maps between the positive cones of the Wiener algebra that preserve the spectrum of the sum of every two elements. We show that such maps can be extended to isometric real-linear isomorphisms of the Wiener algebra.</p>

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Spectrally additive maps on the positive cones of the Wiener algebra

  • 期刊论文

  • 发表日期：

    2026年2月7日

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  • Shiho Oi,
  • Kaito Sato

摘要

We study surjective maps between the positive cones of the Wiener algebra that preserve the spectrum of the sum of every two elements. We show that such maps can be extended to isometric real-linear isomorphisms of the Wiener algebra.