Percorrer por autor "Gosson, A. Maurice"
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- On Orthogonal Projections of Symplectic BallsPublication . Dias, C. Nuno; Gosson, A. Maurice; Prata, N. JoãoWe study the orthogonal projections of symplectic balls in R2n on complex subspaces. In particular we show that these projections are themselves symplectic balls under a certain complexity assumption. Our main result is a refinement of a recent very interesting result of Abbondandolo and Matveyev extending the linear version of Gromov’s non-squeezing theorem. We use a conceptually simpler approachwhere the Schur complement of a matrix plays a central role. An application to the partial traces of density matrices is given.