Saturday 22 February 2014

PDF⋙ Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics) by Gilbert Helmberg, Mathematics

Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics) by Gilbert Helmberg, Mathematics

Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics)

Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics) by Gilbert Helmberg, Mathematics PDF, ePub eBook D0wnl0ad

This text introduces students to Hilbert space and bounded self-adjoint 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 self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.


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