Introduction to functional analysis

摘要: Analyzes the theory of normed linear spaces and mappings between such spaces, providing necessary foundation for further study in many areas analysis. Strives to generate an appreciation unifying power abstract linear-space point view surveying problems algebra, classical analysis, differential integral equations. This second edition incorporates recent developments functional analysis make selection topics more appropriate current courses Additions this new include: a chapter on Banach algebras, material weak topologies duality, equicontinuity, Krein-Milman theorem, Fredholm operators. Greater emphasis is also placed closed unbounded operators, with illustrations drawn from ordinary