This work presents the concepts of functional analysis, covering: the basics of normed linear spaces; Hilbert spaces; operator algebras, including c*-algebras; ... » 

This work presents the concepts of functional analysis, covering: the basics of normed linear spaces; Hilbert spaces; operator algebras, including c*-algebras; more standard operator theory in Hilbert space; and an introduction to the theory of unbounded operators on Hilbert space. «