
 MC243 Aspects of Linear Analysis 
  A second application of the theory of Hilbert spaces is in the study of orthogonal complements; this extends the idea of the Cartesian coordinate system, whereby we use two perpendicular axes in order to describe every point in the plane. 
  Normed vector space, examples, continuous mapping between normed vector spaces, the continuity properties of a norm. 
  ,norm of a composition of bounded linear operators, concept of equivalent norms, to know that all norms on a finitedimensional vector space are equivalent, example of inequivalent norms. 
 www.mcs.le.ac.uk /Modules/Year4/MC243.html (667 words) 
