For X e End(HA), Z e End(HB), we may consider XQZ e End (HAOHB). The operator norm has the following additional properties: ||XY|| = ||X|| ||Y||, ||X||| = ||X||, ||XZ|| = ||X||||2||, ||U|| = 1 VU E U(H). Exercise 3.4.5: Verify these additional properties. For X e End(HA), Z e End(HB), we may consider XQZ e End (HAOHB). The operator norm has the following additional properties: ||XY|| = ||X|| ||Y||, ||X||| = ||X||, ||XZ|| = ||X||||2||, ||U|| = 1 VU E U(H). Exercise 3.4.5: Verify these additional properties