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Bounds on eigenvalues of the product and the Jordan product of two positive definite operators on a finite-dimensional Hilbert space
Authors:A. Grubb  C. S. Sharma
Affiliation:(1) Mathematical Sciences Research Institute, 1000 Centennial Drive, 94720 Berkeley, CA, USA;(2) Present address: Mathematics Department, United States Naval Academy, 21402-5000 Annapolis, MD, USA
Abstract:We show that R2n with its standard symplectic structure is lsquouniversalrsquo in that, subject to a mild topological restriction, essentially all symplectic manifolds can be obtained from it by reduction.Ford Foundation Fellow. Partially supported by NSF grant # DMS-8805699.Supported by the Netherlands Organization for Scientific Research (NWO).
Keywords:53C15  53C57
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