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(Ω2ℵ0) are order-isometric; (2) for every discrete space Γ with m≔card(Γ)>ℵ0 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 -