Latex Typed Note for Functional Analysis(H)

Covering:
   1. Basic definitions in functional analysis: metric space, Banach space, convex/compact/seq-compact, inner product and Hilbert space.
  2. Linear functional, Riesz representation theorem, open mapping theorem and corollaries, Hahn-Banach theorem and applications, week convergence and conjugation space.
  3. Spectral theory, compact operator, Riesz-Fredholm theory, Fredholm opeartor, self-adjoint compact operator.