(DOWNLOAD) "An Introductory Course in Functional Analysis" by Adam Bowers & Nigel J. Kalton # eBook PDF Kindle ePub Free

June 16, 2021

eBook details

Title: An Introductory Course in Functional Analysis
Author : Adam Bowers & Nigel J. Kalton
Release Date : January 11, 2014
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 7573 KB

Description

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.