Linear functional analysis

BryanP. Rynne, 著RynneBryanP.(DepartmentofMathematicsHeriot-WattUniversityEdinburgh), 著ほか

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.

出版社

Springer

発売日

2008-01-01

ISBN

9781848000049