Overview: Presents core material in functional analysis alongside several advanced topics.Includes over 400 exercises, with essential exercises marked as such.Gives a careful introduction to amenability, proper.This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory..In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus,
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