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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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Topological centers of certain dual algebras
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by Anthony To-Ming Lau and Ali Ülger PDF
Trans. Amer. Math. Soc. 348 (1996), 1191-1212 Request permission

Abstract:

Let $A$ be a Banach algebra with a bounded approximate identity. Let $Z_1$ and $\widetilde Z_2$ be, respectively, the topological centers of the algebras $A^{**}$ and $(A^*A)^*$. In this paper, for weakly sequentially complete Banach algebras, in particular for the group and Fourier algebras $L^1(G)$ and $A(G)$, we study the sets $Z_1$, $\widetilde Z_2$, the relations between them and with several other subspaces of $A^{**}$ or $A^*$.
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Additional Information
  • Anthony To-Ming Lau
  • Affiliation: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
  • MR Author ID: 110640
  • Email: tlau@vega.math.ualberta.ca
  • Ali Ülger
  • Affiliation: Department of Mathematics, Boḡazici University, 80815 Bebek-Istanbul, Turkey
  • Email: ulger@boun.edu.tr
  • Received by editor(s): September 4, 1994
  • Received by editor(s) in revised form: March 27, 1995
  • Additional Notes: The research of the first author is supported by an NSERC grant.
    The research of the second author is supported by TUBA
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 1191-1212
  • MSC (1991): Primary 43A20; Secondary 46H05
  • DOI: https://doi.org/10.1090/S0002-9947-96-01499-7
  • MathSciNet review: 1322952