Ward T.B. Functional Analysis Lecture Notes

University of East Anglia, 2003. - 73 pages.In order to reach the more interesting and useful ideas, we shall adopt a fairly brutal approach to some early material. Lengthy proofs will sometimes be left out, though full versions will be made available. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces. These ideas will be illustrated with applications to differential equations.