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Operator Semigroup Compactifications |
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| Authors: | H D Junghenn |
| Institution: | Department of Mathematics, The George Washington University, Washington, D.C. 20052 |
| Abstract: | A weakly continuous, equicontinuous representation of a semitopological semigroup  on a locally convex topological vector space  gives rise to a family of operator semigroup compactifications of  , one for each invariant subspace of  . We consider those invariant subspaces which are maximal with respect to the associated compactification possessing a given property of semigroup compactifications and show that under suitable hypotheses this maximality is preserved under the formation of projective limits, strict inductive limits and tensor products. |
| Keywords: | Semitopological semigroup left topological compactification representation projective limit inductive limit tensor product weakly almost periodic |
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