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This text introduces students to Hilbert space and bounded selfadjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry.Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded selfadjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the RiemannStieltjes and Lebesgue integration.
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