Introduction to Spectral Theory in Hilbert Space, Paperback/Gilbert Helmberg - Dover Publications

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This text introduces students to Hilbert Space and bounded self-adjoint operators, as well as the spectrum of an operator and its Spectral decomposition.
Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration..
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 self-adjoint operators.
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.
This text introduces students to Hilbert Space and bounded self-adjoint operators, as well as the spectrum of an operator and its Spectral decomposition