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Häufige Begriffe und WortgruppenAnalysis arctan argument Bhatia called Chapter commutes complex numbers concave continuous convex function coordinates Corollary defined denote derivative diagonal entries diagonal matrix differentiable disk doubly stochastic matrix eigenvalues eigenvectors equivalent example Exercise exists finite function f(t generalisation given GL(n Hence Hermitian matrices Hermitian operator Hilbert space inner product interval invertible isotone Lemma Let A,B Let f Lidskii's Linear Algebra Linear Algebra Appl linear operator majorisation Math monotone function n x n nonnegative normal matrices notation Note obtained operator convex operator monotone operator monotone function operator norm orthogonal orthonormal basis permutation permutation matrices perturbation bounds polar decomposition polynomial positive matrices positive operators proof of Theorem Proposition proves the theorem Q-norm representation roots Section Show singular values skew-Hermitian subset subspaces symmetric gauge function Theory unitarily invariant norm unitary matrix upper triangular vector space Weyl's wui norm Verweise auf dieses BuchAus anderen Büchern
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