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- W3121567130 abstract "For $$i=1,2$$ , let $$E_i$$ be a reflexive Banach lattice over $${mathbb {R}}$$ with a certain parameter $$lambda ^+(E_i)>1$$ , let $$K_i$$ be a locally compact (Hausdorff) topological space and let $${mathcal {H}}_i$$ be a closed subspace of $${mathcal {C}}_0(K_i, E_i)$$ such that each point of the Choquet boundary $${text {Ch}}_{{mathcal {H}}_i} K_i$$ of $${mathcal {H}}_i$$ is a weak peak point. We show that if there exists an isomorphism $$T:{mathcal {H}}_1rightarrow {mathcal {H}}_2$$ with $$left| Tright| cdot left| T^{-1}right| <min lbrace lambda ^+(E_1), lambda ^+(E_2) rbrace$$ such that T and $$T^{-1}$$ preserve positivity, then $${text {Ch}}_{{mathcal {H}}_1} K_1$$ is homeomorphic to $${text {Ch}}_{{mathcal {H}}_2} K_2$$ ." @default.
- W3121567130 created "2021-02-01" @default.
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- W3121567130 date "2021-01-18" @default.
- W3121567130 modified "2023-09-23" @default.
- W3121567130 title "An Amir–Cambern theorem for subspaces of Banach lattice-valued continuous functions" @default.
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- W3121567130 doi "https://doi.org/10.1007/s43037-020-00112-8" @default.
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