RIM support the latest BES version on ESX Server Version 2.5.2 (it's in the installation guide, although they don't seem to mention it for remote components) - it may run on other / older versions, but it's not supported.
My understanding is that GSX is what became the free VMware server - is that correct? If so, it'll probably work (assuming suitable CPU power / memory / disk is available), but isn't supported.
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