Articles with "spectral theorem" as a keyword



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An elementary proof of the symplectic spectral theorem

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Published in 2019 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557119500335

Abstract: The classical spectral theorem completely describes self-adjoint operators on finite-dimensional inner product vector spaces as linear combinations of orthogonal projections onto pairwise orthogonal subspaces. We prove a similar theorem for self-adjoint operators on finite-dimensional symplectic… read more here.

Keywords: elementary proof; proof symplectic; spectral theorem; theorem ... See more keywords