To me analyzing the given examples it seems as if a mall was necessarily a closed place while a shopping center would/could have outdoor connectivity. They appear to be similar as they both have several independent shops and collective facilities like toilets and parking. Maybe a mall has to have restaurants and other eating facilities, while a shopping center doesn't have to (but could have). I think small sets of shops with collective parking won't qualify as "mall" but they might constitute a shopping center.
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