Introduction to Hilbert Space and the Theory of Spectral Multiplicity(English, Paperback, Halmos Paul R.)
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This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. "An exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely." ? Bulletin of the American Mathematical Society.
