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Representations of generalized multipliers of $L^p$-spaces of locally compact groups


Author: J. Edward Kerlin
Journal: Bull. Amer. Math. Soc. 79 (1973), 1223-1228
MSC (1970): Primary 43A15, 43A22; Secondary 46H25, 46M05, 43A95
DOI: https://doi.org/10.1090/S0002-9904-1973-13389-0
MathSciNet review: 0372539
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  • 1. A. Figà Talamanca, Translation invariant operators in L, Duke Math J. 32 (1965), 495-501. MR 31 #6095. MR 181869
  • 2. A. Figà Talamanca and G. I. Gaudry, Density and representation theorems for multipliers of type (p, q), J. Austral. Math. Soc. 7 (1967), 1-6. MR 35 #666. MR 209770
  • 3. B. R. Gelbaum, Tensor products of Banach algebras, Canad. J. Math. 11 (1959), 297-310. MR 21 #2922. MR 104162
  • 4. B. R. Gelbaum, Tensor products over Banach algebras, Trans. Amer. Math. Soc. 118 (1965), 131-149. MR 31 #2629. MR 178371
  • 5. A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955). MR 17, 763. MR 75539
  • 6. L. C. Grove, Tensor products and compact groups, Illinois J. Math. 11 (1967), 628-634. MR 37 #766. MR 225171
  • 7. E. Hewitt and K. Ross, Abstract harmonic analysis. Vol. I. Structure of topolical groups. Integration theory, group representations, Die Grundlehren der math. Wissenschaften, Band 115, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #158. MR 156915
  • 8. L. Hörmander, Estimates for translation invariant operators in L, Acta Math. 104 (1960), 93-140. MR 22 # 12389. MR 121655
  • 9. G. P. Johnson, Spaces of functions with values in a Banach algebra, Trans. Amer. Math. Soc. 92 (1959), 411-429. MR 21 #5910. MR 107185
  • 10. J. E. Kerlin, Tensor products of group algebras, Trans. Amer. Math. Soc. 174 (1972), 1-35. MR 312286
  • 11. L. Lardy, Tensor products of semigroup algebras, Dissertation, University of Minnesota, Minneapolis, Minn., 1964.
  • 12. B. Natzitz, Tensor products of group algebras, Dissertation, University of Minnesota, Minneapolis, Minn., 1963.
  • 13. M. A. Rieffel, Induced Banach representations of Banach algebras and locally compact groups, J. Functional Analysis 1 (1967), 443-491. MR 36 #6544. MR 223496
  • 14. M. A. Rieffel, Multipliers and tensor products of L, Studia Math. 33 (1969), 71-82. MR 39 #6078. MR 244764
  • 15. H. Reiter, Subalgebras of L, Nederl. Akad. Wetensch. Proc. Ser. A 68 = Indag. Math. 27 (1965), 691-696. MR 33 #4702. MR 196515
  • 16. H. Reiter, Classical harmonic analysis and locally compact groups, Oxford Univ. Press, Oxford, 1968. MR 306811
  • 17. R. Rigelhof, Tensor products of locally convex modules and applications to the multiplier problem, Trans. Amer. Math. Soc. 164 (1972), 295-307. MR 293335

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DOI: https://doi.org/10.1090/S0002-9904-1973-13389-0

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