为什么我不能将此运算符重载在与结构相同的命名空间中？

I have the following code:

我有以下代码:

#include <iostream>
#include <vector>
namespace X {
    std::ostream& operator<<(std::ostream& os,const std::vector<double>& v){
        for (int i=0;i<v.size();i++){os << v[i] << " ";}
        return os;
    }
    namespace Y {
        struct A {std::vector<double> x;};    
        std::ostream& operator<<(std::ostream& os,const A& a){
            os << a.x << std::endl;
            return os;
        }
   }     
}

using namespace X;

int main(int argc, char** argv) {
   std::vector<double> v(10,0);
   std::cout << v << std::endl;
   Y::A a;
   std::cout << a << std::endl;
   return 0;
}
#include