EAN: 9781493919444

UNIVERSITEXT AN INTRODUCTORY COURSE IN FUNCTI...

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.

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