Publisher's Synopsis
Core knowledge for any post-graduate mathematics students, A First Course in Functional Analysis lucidly covers Banach spaces, continuous linear functionals and the basic theorems of bounded linear operators. The special distinguishing features of the book includes the establishment of the spectral theorem for the compact normal operators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banach algebras leading to the proof of the Gelfond - Neumark structure theorem for Banach algebras.
