Reviews Of The First Edition:this Is A Well-written Student-friendly Basic Introduction To Functional Analysis And Hilbert Space Maa Online Book Reviewthe Highlight Of The Book Is The Spectral Theorem For Selfadjoint Linear Compact Operators, Presented With Full Proof. The Book Ends With A Set Of Well Chosen Exercises Completing The Main Text.zentralblatt Maththis Book Presents Basic Elements Of The Theory Of Hilbert Spaces And Operators On Hilbert Spaces, Culminating In A Proof Of The Spectral Theorem For Compact, Self-adjoint Operators On Separable Hilbert Spaces. It Exhibits A Construction Of The Space Of Pth Power Lebesgue Integrable Functions By A Completion Procedure With Respect To A Suitable Norm In A Space Of Continuous Functions, Including Proofs Of The Basic Inequalities Of Hlder And Minkowski.