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Green's function,continual weighted composition operators along trajectories,and hyperbolicity of linear extensions for dynamical systems |
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| Authors: | Yuri Latushkin |
| Institution: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, Missouri |
| Abstract: | The hyperbolicity of linear skew-product flows with infinite-dimensional fibersE over a dynamical system on a compact metric spaceX is described in terms of the existence and uniqueness of Green's function and in terms of the spectra for family of the semigroups of weighted composition operators acting inL 2(R;E) and parametrized by the points ofX. |
| Keywords: | Linear skew-product flows evolutionary equations exponential dichotomy hyperbolicity Green's function C 0-semigroups weighted composition operators |
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