Pacific Journal of Mathematics

Characterization of group algebras in terms of their translation operators.

F. P. Greenleaf

Article information

Source
Pacific J. Math., Volume 18, Number 2 (1966), 243-276.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102994267

Mathematical Reviews number (MathSciNet)
MR0200738

Zentralblatt MATH identifier
0156.14401

Subjects
Primary: 46.80
Secondary: 42.56

Citation

Greenleaf, F. P. Characterization of group algebras in terms of their translation operators. Pacific J. Math. 18 (1966), no. 2, 243--276. https://projecteuclid.org/euclid.pjm/1102994267


Export citation

References

  • [1] F. T. Birtel, Banach algebras of multipliers, Duke Math. J. 28 (1961), 203-212.
  • [2] F. T. Birtel,Isomorphisms and isometric multipliers,Proc. Amer. Math. Soc. 13 (1962), 204-210.
  • [3] F. Bohnenblust and S. Karlin, Geometrical properties of the unit sphere of Banach algebras, Ann. of Math. (2) 62 (1955), 217-229.
  • [4] N. Bourbaki, Espaces Vectoriels Topologiques,Ch. I-II, Hermann et Cie, Paris, 1953.
  • [5] N. Bourbaki, Integration, Ch. I-IV, Hermann et Cie, Paris, 1952.
  • [6] C. Chevalley, Theory of Lie groups, Vol. I, Princeton Univ. Press, Princeton, N. J., 1946.
  • [7] N. Dunford and J. Schwartz, Linear Operators(Part I), Interscience, New York, 1958.
  • [8] F. P. Greenleaf, Norm decreasing homomorphisms on group algebras, Pacific J. Math. 15 (1965), 1187-1219.
  • [9] K. Hoffman, Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N. J., 1962.
  • [10] I. Kaplansky, Dual rings, Ann. of Math. 49 (1948), 689-701.
  • [11] L. Loomis, Introduction to abstract harmonic analysis, Van Nostrand, New York, 1952.
  • [12] D. Montgomery and L. Zippin, Topologicaltransformation groups, Interscience, New York, 1955.
  • [13] L. Pontryagin, Topological Groups, Princeton Univ. Press, Princeton, N. J., 1946.
  • [14] C. E. Rickart, General theory of Banach algebras, Van Nostrand, New York, 1960.
  • [15] M. A. Rieffel, A characterization of commutative group algebras and measure algebras, Ph. D. dissertation, Columbia Univ., 1963.
  • [16] A. Weil, LfIntegration dans les groupes topologiqueset ses applications, Hermann et Cie, Paris, 1953.
  • [17] J. G. Wendel, On isometric isomorphisms of group algebras, Pacific J. Math. 1 (1951), 289-311.
  • [18] J. G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251-261.