TY - JOUR A2 - Petrusel, Adrian AU - Wójtowicz, Marek PY - 2017 DA - 2017/07/04 TI - Isometries of Spaces of Radon Measures SP - 3850817 VL - 2017 AB - Let Ω and I denote a compact metrizable space with card(Ω)2 and the unit interval, respectively. We prove Milutin and Cantor-Bernstein type theorems for the spaces M(Ω) of Radon measures on compact Hausdorff spaces Ω. In particular, we obtain the following results: (1) for every infinite closed subset K of βN the spaces M(K), M(βN), and M(Ω20) are order-isometric; (2) for every discrete space Γ with mcard(Γ)>0 the spaces M(βΓ) and M(I2m) are order-isometric, whereas there is no linear homeomorphic injection from C(βT) into C(I2m). SN - 2314-8896 UR - https://doi.org/10.1155/2017/3850817 DO - 10.1155/2017/3850817 JF - Journal of Function Spaces PB - Hindawi KW - ER -