A first course in functional analysis : theory and applications / Rabindranath Sen.

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Preliminaries -- Normed linear spaces -- Hilbert space -- Linear operators -- Linear functions -- Space of bounded linear functionals -- Closed graph theorem and its consequences -- Compact operators on normed linear spaces -- Elements of spectral theory of self-adjoint operators in Hilbert spaces -- Measures and integration in Lp[subscript] spaces -- Unbounded linear operators -- The Hahn-Banach theorem and optimization problems -- Variational problems -- The wavelet analysis -- Dynamical systems.

This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.