Rynne / Youngson Linear Functional Analysis

2. Auflage 2008
ISBN: 978-1-84800-005-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 324 Seiten, Web PDF

Reihe: Mathematics and Statistics

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. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces. Other highlights include topics that have applications to both linear and nonlinear functional analysis, extended coverage of the uniform boundedness theorem, and plenty of exercises with solutions provided at the back of the book.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Rynne, Bryan

Youngson, M.A.

Inhaltsverzeichnis

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.