Get all the updates for this publication
Let f be a transformation on the Euclidean space such that f(0) = 0, and f preserves distances. Then f is linear, and this makes it easier to analyze f. The Mazur—Ulam theorem generalizes this to maps between real normed linear spaces. We discuss this theorem and its proofs.
Content may be subject to copyright.
Authors (1)
Rajendra Bhatia- On the Bures–Wasserstein distance between positive definite matrices
- Procrustes problems in Riemannian manifolds of positive definite matrices
- Strong convexity of sandwiched entropies and related optimization problems
- Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices
