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    $\begingroup$ You could, but you're asking for a witches-brew of nastiness messing with it that way. Why not just define a single character function - perhaps using some preferred symbol with no built-in operation, e.g. ` p[a___] := 1/Tr@(1/{a})` $\endgroup$ Commented Aug 1, 2015 at 22:57
  • $\begingroup$ Welcome to Mathematica.SE! I suggest the following: 1) As you receive help, try to give it too, by answering questions in your area of expertise. 2) Read the faq! 3) When you see good questions and answers, vote them up by clicking the gray triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge. Also, please remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign! $\endgroup$ Commented Aug 1, 2015 at 23:11
  • $\begingroup$ If you follow @ciao's suggestion, you can also use it in infix notation via a ~p~ b. $\endgroup$ Commented Aug 1, 2015 at 23:22