2025/08/27 by Carlos F. Álvarez, Álvarez, Carlos F., O. R. Severiano +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA
paper · pdf · doi:10.48550/arxiv.2508.19975
arxiv created 2026/07/29 · arxiv updated 2026/07/31
In this article, we study composition operators Cϕf=f∘ ϕ on the full range of Paley-Wiener spaces B2a for a>0. Here we compute the spectrum and the spectral radius of Cϕ on B2a. The spectrum of Cϕ and the location of the fixed point of ϕ play a fundamental role in our analysis to show that no Paley-Wiener space B2a supports composition operators possessing the positive shadowing property. We also provide a complete classification of the composition operators on B2a that are positively expansive and absolutely Cesàro bounded. As a consequence of these results we show that no Paley-Wiener space B2a supports Li-Yorke chaotic composition operators.