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Publicação
On Orthogonal Projections of Symplectic Balls
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Orientador(es)
Resumo(s)
We 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.
Descrição
Palavras-chave
Symplectic ball orthogonal projection Gromov’s non-squeezing theorem
Contexto Educativo
Citação
Dias, N. C., de Gosson, M. A., & Prata, J. N. (2024). On orthogonal projections of symplectic balls. Comptes Rendus. Mathématique, 362(G3), 217-227.
Editora
Académie des sciences