Some recent work in Fréchet geometry
نویسنده
چکیده
Some recent work in Fréchet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Fréchet manifolds that could be represented as projective limits of Banach manifolds. This led to further results concerning the characterization of second tangent bundles and differential equations in the more general Fréchet structure needed for applications. A summary is given of recent results on hypercyclicity of operators on Fréchet spaces. M.S.C. 2010: 58B25 58A05 47A16, 47B37.
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