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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Operator Semigroup Compactifications
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by H. D. Junghenn PDF
Trans. Amer. Math. Soc. 348 (1996), 1051-1073 Request permission

Abstract:

A weakly continuous, equicontinuous representation of a semitopological semigroup $S$ on a locally convex topological vector space $X$ gives rise to a family of operator semigroup compactifications of $S$, one for each invariant subspace of $X$. 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.
References
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Additional Information
  • H. D. Junghenn
  • Affiliation: Department of Mathematics, The George Washington University, Washington, D.C. 20052
  • MR Author ID: 96315
  • Email: hugo@math.gwu.edu
  • Received by editor(s): October 27, 1994
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 1051-1073
  • MSC (1991): Primary 22A20, 22A25, 43A60
  • DOI: https://doi.org/10.1090/S0002-9947-96-01607-8
  • MathSciNet review: 1348864