Introduction To Functional Analysis (oxford Graduate Texts In Mathematics)

this Book Was Written For Students Of Mathematics And Physics Who Have A Basic Knowledge Of Analysis And Linear Algebra. It Can Be Used As A Textbook For Courses And/or Seminars In Functional Analysis. Starting From Metric Spaces, It Proceeds Quickly To The Central Results Of The Field, Including The Theorem Of Hahn-banach. The Spaces (p lp (x,(), c(x)' And Sebolov Spaces Are Introduced. A Chapter On Spectral Theory Contains The Riesz Theory Of Compact Operators, Basic Facts On Banach And C-algebras, And The Spectral Representation For Bounded Normal And Unbounded Self-adjoint Operators For Hilbert Spaces. A Discussion Of Locally Convex Spaces And Their Duality Theory Provides The Basis For A Comprehensive Treatment Of Frechet Spaces And Their Duals.