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Journal of Function Spaces
Volume 2017 (2017), Article ID 3850817, 4 pages
Research Article

Isometries of Spaces of Radon Measures

Instytut Matematyki, Uniwersytet Kazimierza Wielkiego, Pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Correspondence should be addressed to Marek Wójtowicz

Received 2 May 2017; Accepted 5 June 2017; Published 4 July 2017

Academic Editor: Adrian Petrusel

Copyright © 2017 Marek Wójtowicz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 .