Linear Functional Analysis: An Application-Oriented Introduction (Universitext)
A complete, self-contained introduction to linear functionalanalysisIncludes topics such as operator theory, distributions, SobolevspacesFeatures many solved exercises——————————This book gives an introduction to Linear Functional Analysis,which is a synthesis of algebra, topology, and analysis. Inaddition to the basic theory it explains operator theory,distributions, Sobolev spaces, and many other things. The text isself-contained and includes all proofs, as well as many exercises,most of them with solutions. Moreover, there are a number ofappendices, for example on Lebesgue integration theory.A complete introduction to the subject, Linear FunctionalAnalysis will be particularly useful to readers who want toquickly get to the key statements and who are interested inapplications to differential equations.