[Springer Undergraduate Mathematics Series] Linear Functional Analysis || Linear Operators on Hilbert Spaces

✍ Scribed by Rynne, Bryan P.; Youngson, Martin A.

• Book ID: 118069367
• Publisher: Springer London
• Year: 2008
• Tongue: English
• Weight: 1023 KB
• Edition: 2
• Category: Article
• ISBN: 1848000057
• DOI: 10.1007/978-1-84800-005-6_6

✦ Synopsis

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 standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality.