A Note on the Spectral Theorem in the Finite-Dimensional Real Case

作者:Acker Felipe*
来源:American Mathematical Monthly, 2014, 121(10): 942-945.
DOI:10.4169/amer.math.monthly.121.10.942

摘要

We give a proof of the spectral theorem for self-adjoint operators in the finite-dimensional real case that involves no complexification of the space, no determinants, and no Lagrange multipliers. The tools in our proof are the fundamental theorem of algebra and the intermediate value theorem.

  • 出版日期2014-12

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