Isometries of Spaces of Radon Measures

Let and denote a compact metrizable space with and the unit interval, respectively. We prove Milutin and Cantor-Bernstein type theorems for the spaces of Radon measures on compact Hausdorff spaces . In particular, we obtain the following results: () for every infinite closed subset of the spaces , , and are order-isometric; () for every discrete space with the spaces and are order-isometric, whereas there is no linear homeomorphic injection from into .

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