Spectrally additive maps on the positive cones of the Wiener algebra

2025/12/01 by Oi, Shiho, Sato, Kaito
#46B40 #46J10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2512.01173

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.

Citations

• Additive spectrum preserving mappings from von Neumann algebras

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