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Sinopsis

An introduction to functional analysis for those students who already have some background in analysis. The author also aims to present results of application in contemporary mathematics and show the relevance of functional analysis to other areas.

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Críticas

"The presentation is self-contained and lively and its outstanding feature is its brevity." Ioana Cioranescu, Mathematical Reviews

Reseña del editor

This introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finite-dimensional spaces, invariant subspace, fixed-point theorem, and the Bishop-Phelps theorem. An outstanding set of exercises run from the elementary to the challenging.

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