Convexity of Hessian Integrals and Poincaré Type Inequalities

  • ZUOLIANG HOU
  • Published 2009

Abstract

Let H(n) denote the space of Hermitian matrices of size n. For A ∈ H(n), denote λ(A) ∈ R the eigenvalue of A and Sk(A) = Sk(λ(A)). Even though we use Sk to denote functions defined on both R n and H(n), its meaning should be clear from the context. In either case, we use S̃k to denote the complete polarization of Sk. Let Γk = {λ ∈ R | Sj(λ) ≥ 0, j = 1… (More)

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