Well, I know right that I could find a counterexample to prove that this is false. Anyone knows one? Note that $dim(V),\hspace{3.25pt}dim(W)<\infty$
Asked
Active
Viewed 70 times
0
-
It's not trivial. See, e.g., this question for the standard sort of counterexample. – lulu Apr 08 '19 at 00:42
-
Even in the case $V=W=\mathbb R$ (as vector spaces over $\mathbb R$) $T$ need not be linear. – Kavi Rama Murthy Apr 08 '19 at 00:44
-
I'd edit the question – Esteban Vera Valdez Apr 08 '19 at 00:58