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Some generalizations of the DDVV and BW inequalities

Published 19 Jul 2018 in math.DG and math.OA | (1807.07307v2)

Abstract: In this paper we generalize the known DDVV-type inequalities for real (skew-)symmetric and complex (skew-)Hermitian matrices to arbitrary real, complex and quaternionic matrices. Inspired by the Erd\H{o}s-Mordell inequality, we establish the DDVV-type inequalities for matrices in the subspaces spanned by a Clifford system or a Clifford algebra. We also generalize the B\"{o}ttcher-Wenzel inequality to quaternionic matrices.

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Authors (3)

  1. Jianquan Ge 
  2. Fagui Li 
  3. Yi Zhou 

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