Spectrally additive maps on the positive cones of the Wiener algebra

Shiho Oi; Kaito Sato

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arXiv · 2512.01173

Spectrally additive maps on the positive cones of the Wiener algebra

Shiho Oi·Kaito Sato

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Abstract

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.

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Shiho Oi, Kaito Sato. 2025-12-01. Spectrally additive maps on the positive cones of the Wiener algebra. https://arxiv.org/abs/2512.01173

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