Robinson, James C. , author ,
An introduction to functional analysis / James C. Robinson. --
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
ISBN 9780521728393
Functional analysis
515.7
An introduction to functional analysis / James C. Robinson. --
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
ISBN 9780521728393
Functional analysis
515.7