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Proceedings of the American Mathematical Society

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Multipliers of Segal algebras


Author: U. B. Tewari
Journal: Proc. Amer. Math. Soc. 54 (1976), 157-161
MSC: Primary 43A22
DOI: https://doi.org/10.1090/S0002-9939-1976-0447976-0
MathSciNet review: 0447976
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Abstract: We show that there exists a noncompact locally compact abelian group $ G$ and a Segal algebra $ S(G)$ on $ G$ whose multiplier algebra properly contains the measure algebra.


References [Enhancements On Off] (What's this?)

  • [1] J. T. Burnham, Multipliers of $ A$-Segal algebras on $ LCA$ groups. I (preprint).
  • [2] J. Cigler, Normed ideals in $ {L^1}(G)$, Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math. 31 (1969), 273-282. MR 40 #3327. MR 0250086 (40:3327)
  • [3] R. E. Edwards, Operators commuting with translations, Pacific J. Math. 16 (1966), 259-265. MR 32 #6151. MR 0188715 (32:6151)
  • [4] G. P. Johnson, Spaces of functions with values in a Banach algebra, Trans. Amer. Math. Soc. 92 (1959), 411-429. MR 21 #5910. MR 0107185 (21:5910)
  • [5] V. V. Kapoor, Tensor products of Segal algebras, Doctoral Dissertation, I.I.T. Kanpur, 1972.
  • [6] G. N. Keshava Murthy and K. R. Unni, Multipliers on a space of Wiener functions, Matscience, Madras, India, 1972 (preprint). MR 0350293 (50:2786)
  • [7] R. Larsen, Introduction to the theory of multipliers, Springer-Verlag, Berlin and New York, 1971. MR 0435738 (55:8695)
  • [8] H. Reiter, $ {L^1}$-algebras and Segal algebras, Lecture Notes in Math., vol. 231, Springer-Verlag, Berlin and New York, 1971. MR 0440280 (55:13158)
  • [9] W. Rudin, Fourier analysis on groups, Interscience Tracts in pure and Appl. Math., no. 12, Interscience, New York, 1962. MR 27 #2808. MR 0152834 (27:2808)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0447976-0
Keywords: Locally compact abelian group, Segal algebra, multiplier algebra, measure algebra, tensor product
Article copyright: © Copyright 1976 American Mathematical Society

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