Linear analysis : an introductory course

摘要: Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim not just cover the standard material a way, but present results of application contemporary mathematics show relevance other areas. Unusual topics covered include geometry finite-dimensional spaces, invariant subspaces, fixed-point theorems, Bishop-Phelps theorem. An outstanding feature large number exercises, straightforward, challenging, none uninteresting.