Why shouldn't C++ operator new/delete/variants be in header files?

Can someone explain the nature of this C++ compile error? I am dabbling in/learning about overloading the global operators new, delete, and their variants. I read a couple of articles on the subject, but I couldn't find one that seems to address this specifically.

The Code

foo.h:

#ifndef foo_h
#define foo_h

void* operator new(size_t);
void* operator new[](size_t);

void operator delete(void*);
void operator delete[](void*);

#endif // foo_h

foo.cpp:

#include <foo.h>
#include <iostream>

void* operator new(size_t size) { return NULL; }
void* operator new[](size_t size) { return NULL; }

void operator delete(void* p) { }
void operator delete[](void* p) { }

The Compile Error

>g++ -g -std=c++14 -I./ -c foo.cpp -o foo.o
In file included from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ext/new_allocator.h:33:0,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/x86_64-pc-cygwin/bits/c++allocator.h:33,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/allocator.h:46,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/string:41,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/locale_classes.h:40,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/ios_base.h:41,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ios:42,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ostream:38,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/iostream:39,
                 from foo.cpp:2:
/usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/new:116:41: error: declaration of ‘void operator delete(void*) noexcept’ has a different exception specifier
   __attribute__((__externally_visible__));
                                         ^
In file included from foo.cpp:1:0:
./foo.h:8:6: error: from previous declaration ‘void operator delete(void*)’
 void operator delete(void* p);
      ^
In file included from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ext/new_allocator.h:33:0,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/x86_64-pc-cygwin/bits/c++allocator.h:33,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/allocator.h:46,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/string:41,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/locale_classes.h:40,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/bits/ios_base.h:41,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ios:42,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/ostream:38,
                 from /usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/iostream:39,
                 from foo.cpp:2:
/usr/lib/gcc/x86_64-pc-cygwin/5.4.0/include/c++/new:118:41: error: declaration of ‘void operator delete [](void*) noexcept’ has a different exception specifier
   __attribute__((__externally_visible__));
                                         ^
In file included from foo.cpp:1:0:
./foo.h:9:6: error: from previous declaration ‘void operator delete [](void*)’
 void operator delete[](void* p);
      ^

Some oddities about this issue that I think are relevant:

If I comment out #include <iostream> in foo.cpp, compilation succeeds
If I comment out the function declarations in foo.h, and only keep their definitions, in foo.cpp (and also keeping #include <iostream>), compilation succeeds.

I have some vague suspicions; perhaps answerers will confirm by way of their answers:

The error makes mention of an exception specifier so I thought maybe by overriding any of these operators, I am obliged to override the entire suite of their siblings. However, adding operator delete(void*, const std::nothrow_t&) declaration and definition did not change the compile error. I also don't think it should be true that overriding any of these operators obliges the coder to implement all of them, but am I mistaken on that?
I read an article outside of StackOverflow mentioning that these operators must only be included in one "translation unit" and therefore should not be in header files. I don't understand what a translation unit is, and that article did not explain what it is. If that is related to this problem, please explain what a "translation unit" is and why that necessitates exclusion of function declarations from a header file - this seems contrary to all my prior C++ coding experience.

Thank you for any insight.

Solution

The problem you are seeing is due to differences in the following declarations.

The library declares the operator delete functions as:

void operator delete(void*) noexcept;
void operator delete [](void*) noexcept;

while you declare them as:

void operator delete(void*);
void operator delete [](void*);

Instead of declaring them in your .h file, you should use

#include <new>

Lookup section 18.6 Dynamic memory management of the C++11 standard if you have access to it for more information on the subject.

A translation unit is usually a .cpp file. Further reading: What is a "translation unit" in C++.