Talk:Surjection that Preserves Inner Product is Linear

I am punished for English being not my native language (though I generally get away with it).

My consideration says that I should change the title of this page to 'Inner Product-Preserving Surjection is Linear' or 'Inner-Product-Preserving Surjection is Linear' but I am unsure of which (the change is necessary to stipulate the surjection preserves the inner product, not the other way around.

PM, could you elucidate me on this (and explain the rule, or point to such an explanation)? Thanks. --Lord_Farin 17:13, 16 January 2012 (EST)