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Operator Semigroup Compactifications
Author(s):
H.
D.
Junghenn
Journal:
Trans. Amer. Math. Soc.
348
(1996),
1051-1073.
MSC (1991):
Primary 22A20, 22A25, 43A60
MathSciNet review:
1348864
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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.
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Additional Information:
H.
D.
Junghenn
Affiliation:
Department of Mathematics, The George Washington University, Washington, D.C. 20052
Email:
hugo@math.gwu.edu
DOI:
10.1090/S0002-9947-96-01607-8
PII:
S 0002-9947(96)01607-8
Keywords:
Semitopological semigroup,
left topological compactification,
representation,
projective limit,
inductive limit,
tensor product,
weakly almost periodic
Received by editor(s):
October 27, 1994
Copyright of article:
Copyright
1996,
American Mathematical Society
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