Do you prefer Gallium Arsenide based semi-conducters to Silicon based ones?
Who's your favourite member of the Wu-tang clan?
Let V be a finite-dimensional inner product space and T : V -> V a bounded
linear map. Prove the following:
(i) llT*Tll = T^2 (you may assume llT*ll = llTll).
(ii) If {e1,...,en} is an orthonormal basis of eigenvectors, with Tei = λiei, then
llTll = max1≤i≤n lλil