Dover Books on Mathematics Ser.: Introduction to Spectral Theory in Hilbert Space by Gilbert Helmberg (2008, Trade Paperback)
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Starting with a definition of Hilbert space and its geometry, this text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Familiarity with analysis and analytic geometry is the only prerequisite. Extensive appendixes complement the text. 1969 edition.