TY - BOOK AU - Rynne, Bryan P. AU - Youngson, Martin A. TI - Linear functional analysis SN - 9781848000049 U1 - 515 RYN-B PY - 2008/// CY - United Kingdom PB - Springer KW - Functional analysis KW - Global analysis (Mathematics) KW - Mathematics KW - Mathematical physics KW - Operator theory N1 - 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 ER -