2020/06/11 by Jakub Rondoš, Rondoš, Jakub, Jiří Spurný +1
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #math.FA
paper · pdf · doi:10.48550/arxiv.2006.07195
arXiv admin note: text overlap with arXiv:1908.09680
arxiv created 2020/06/11 · openalex publication_date 2020/06/11 · arxiv updated 2020/06/15 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
For i=1,2, let Ei be a reflexive Banach lattice over ℝ with a certain parameter λ+(Ei)>1, let Ki be a locally compact (Hausdorff) topological space and let Hi be a closed subspace of C0(Ki, Ei) such that each point of the Choquet boundary ChHi Ki of Hi is a weak peak point. We show that if there exists an isomorphism T\colon H1 → H2 with \Vert T \Vert ⋅ \Vert T-1 \Vert<min \lbrace λ+(E1), λ+(E2) \rbrace such that T and T-1 preserve positivity, then ChH1 K1 is homeomorphic to ChH2 K2.