Let X be a normed linear space and let Y be a Banach space. Let Then with the norm || A|| that B(X,Y) is a Banach B(X,Y)= {A|A: X Y is a bounded linear operator}. sup||||1||Ar||, B(X,Y) is a normed linear space (you need not show this). Prove space; that is, prove that B(X,Y) is complete. =