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Finite Dimensional Vector Spaces: University Series in Undergraduate Mat...
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Introduction to Spectral Theory in Hilbert Space
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Introduction to Hilbert space and the theory of spectral multiplicity

Bok av Paul R Halmos
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. 1957 edition.