TY  - BOOK
AU  - Robinson,James C.
TI  - An introduction to functional analysis
SN  - 9780521728393
U1  - 515.7 
PY  - 2020///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Functional analysis
N1  - Includes bibliographical references (pages 394-395) and index; Part I. Preliminaries; Vector space and bases; Metric spaces; Part II. Normed linear spaces; Norms and normed spaces; Complete normed spaces; Finite-dimensional normed spaces; Spaces of continuous functions; Completions and the Lebesgue space; Part III. Hilbert spaces; Hilbert spaces; Orthonormal sets and orthonormal bases for Hilbert spaces; Closest points and approximation; Linear maps between normed spaces; Dual spaces and the Riesz representation theorem; The Hilbert adjoint of a linear operator; The spectrum of a bounded linear operator; The spectrum of a bounded linear operator; Compact linear operators; The Hilbert-Schmidt theorem; Application : Sturm-Liouville problems; Part IV. Banach spaces; Dual spaces of Banach spaces; The Hahn-Banach theorem; Some applications of the Hahn-Banach theorem; Convex subsets of Banach Spaces; The principle of uniform boundedness; The open mapping, inverse mapping, and closed graph theorems; Spectral theory for compact operators; Unbounded operators on Hilbert spaces; Reflexives spaces; Weak and weak--convergence
ER  -