Let $Q$ be a matrix. I would like to write in a compact way (without indexing) $$\max_i Q_{*,i}$$ that should return a vertical vector $$v_j = \max_i Q_{j,i}$$
I need it because I have
$$Q = R + \gamma P \max_i Q_{*,i}$$
and I would like to have a matrix notation where there are no indexes. Now in my document I wrote something like
$$Q = R + \gamma P Q^*$$
making clear that $Q^* = \max_i Q_{*,i}$. But, if I find a more appropriate way to write this "operator" it will be great! (Q is a matrix, R is a matrix, P is a 3-d matrix)