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Stability of semigroups commuting with a compact operator |
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| Authors: | Vu Quô c Phó ng |
| Institution: | Department of Mathematics, Ohio University, Athens, Ohio 45701 |
| Abstract: | It is proved that if  are bounded  -semigroups on Banach spaces  and  , resp., and  ,  are bounded operators with dense ranges such that  intertwines  with  and  commutes with  , then  is strongly stable provided  ---the generator of  ---does not have eigenvalue on  . An analogous result holds for power-bounded operators. |
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