here’s another mathematical approach (that has the added benefit of only working when x and y are both positive).
let f denote the linear functional on ℝ2 defined by f(1,0) = x and f(0,1) = y (and extend by linearity). then the operator norm || f || is equal to max(x,y).
here’s another mathematical approach (that has the added benefit of only working when x and y are both positive).
let f denote the linear functional on ℝ2 defined by f(1,0) = x and f(0,1) = y (and extend by linearity). then the operator norm || f || is equal to max(x,y).