Is it possible to search for names containing spaces?
name: [\'Burger King|Subway\'] //fails
name: [\'McDonald|Subway|Chipotle\'] // works
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As SKAR said, add %22 when you have spaces. Your search term, instead of Burger King, becomes "Burger King".
URL, as suggested by SKAR:
https://maps.googleapis.com/maps/api/place/nearbysearch/xml?location=-41.21545,174.89416&radius=10000&name=%22strike%20entertainment%20centre%22&sensor=true&key=[YourKey]
Do not replace your %20 (Spaces) by %22, but add them before and after your search term.
Cheers