This textbook is for a first course in functional analysis for students who have completed first-year courses in analysis and linear algebra and second-year courses in complex analysis, topology, and measure and integration. Bühler and Salamon assume that students have studied elementary Hilbert space theory, the Stone-Weierstraß Theorem, and the lemma of Zorn and Tychonoff's Theorem in previous courses, but include them here for completeness. They cover foundations, principles of functional analysis, the weak and weak* topologies, Fredhold theory, spectral theory, unbounded operators, and semigroups of operators. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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