Linear Functional Analysis

• Main Authors: Rynne, Bryan P. (Author), Youngson, Martin A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Operator theory.; Physics.; Functional Analysis.; Operator Theory.; Analysis.; Mathematical Methods in Physics.

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standa...

Table of Contents:

• Preliminaries
• Normed Spaces
• Inner Product Spaces, Hilbert Spaces
• Linear Operators
• Duality and the Hahn—Banach Theorem
• Linear Operators on Hilbert Spaces
• Compact Operators
• Integral and Differential Equations
• Solutions to Exercises.