This is related to Fonts for PolyTonic Greek. That post contains (supposedly) working example using the names of many fonts, and each font name contains a space. Names include: "CMU Serif", "EB Garamond", "GFS Artemisia". The post states that the fonts are all part of TeXLive 2013. I have a TeXLive updated 2013 distribution. I copied the code exactly and attempted to xelatex it. But it returned an error stating that a font cannot have a space in its name. How did the previous poster manage to run code in which all font names contain spaces?
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fontspecuses the name of the font as it would appear, e.g. in a regular application on your machine. This will typically include spaces. If you are requesting a font by filename, (which you must with XeTeX with fonts in yourtexmfdirectories) it cannot contain spaces.texmfdirectories are typically also made system fonts. At least, a lot of Linux distros do this if you install using their packages, and it is very easy to do this yourself if you use upstream's installer. I don't know, however, whether this works on Mac OS X or Windows. Perhaps that is what @AlanMunn is thinking of?