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Compact multipliers on weighted hypergroup algebras

Published online by Cambridge University Press:  24 October 2008

F. Ghahramani  and
A. R. Medgalchi
F. Ghahramani
Affiliation:
Department of Mathematics, University for Teacher Education, Tehran, Iran
A. R. Medgalchi
Affiliation:
Department of Mathematics, University for Teacher Education, Tehran, Iran
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Abstract

Let Mω(X) be a weighted hypergroup algebra, and Lω(X) be the Banach algebra of measures μ ε Mω(X) such that the function x ↦ (1/ω(x))δx* |μ| is norm continuous. We characterize compact multipliers on Lω(X). This extends the characterization of compact multipliers on weighted group algebras and some classes of weighted semigroup algebras.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 3 , November 1985 , pp. 493 - 500
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Akemann, C.. Some mapping properties of the group algebras of a compact group. Pacific J. Math. 22 (1967), 1–8.Google Scholar
[2]Bade, W. G. and Dales, H. G.. Norms and ideals in radical convolution algebras. J. Functional Analysis 41 (1981), 77–109.Google Scholar
[3]Baker, Anne C. and Baker, J. W.. Algebras of measures on a locally compact semigroup. J. London Math. Soc. 2 (1970), 651–659.CrossRefGoogle Scholar
[4]Dunford, N. and Schwartz, J. T.. Linear Operators 1, General Theory (Interscience, 1958).Google Scholar
[5]Dunkl, C. F.. The measure algebra of a locally compact hypergroup. Trans. Amer. Math. Soc. 179 (1973), 331–348.CrossRefGoogle Scholar
[6]Ghahramani, F.. homomorphisms and derivations on weighted convolution algebras. J. London Math. Soc. (2), 21 (1980), 149–161.CrossRefGoogle Scholar
[7]Ghahramani, F.. Compact elements of weighted group algebras. Pacific J. Math. 113 (1984), 77–84.Google Scholar
[8]Ghahramani, F.. Weighted group algebra as an ideal in its second dual space. Proc. Amer. Math. Soc. 90 (1984), 71–76.Google Scholar
[9]Grønbæk, N.. Derivations and Semigroups, Commutative Radical Banach Algebras. Køben havens Universitet Mathematisk Institut, Publikation Series, no. 3, 1980.Google Scholar
[10]Hewitt, E. and Ross, K. A.. Abstract Harmonic Analysis II (Springer Verlag, 1970).Google Scholar
[11]Jewett, R. I.. Spaces with an abstract convolution of measures. Advances in Math. 18 (1975), 1–101.Google Scholar
[12]Medgalchi, A. R.. Ph.D. Thesis, University of Sheffield, 1982.Google Scholar
[13]Spector, R.. Sur la structure locale des groupes abéliens localement compacts. Soc. Math. France Mémoire 24 (1970), 1–94.Google Scholar
[14]Sakai, S.. Weakly compact operators on operator algebras. Pacific J. Math. 14 (1964), 659–664.CrossRefGoogle Scholar
[15]Vrem, R. C.. Lacunarity on compact hypergroups. Math. Z. 164 (1978), 93–104.Google Scholar
[16]Vrem, R. C.. Harmonic analysis on compact hypergroups. Pacific J. Math. 85 (1979), 239–251.Google Scholar
[17]Vrem, R. C.. Continuous measures and lacunarity on hypergroups. Trans. Amer. Math. Soc. (2), 269 (1982), 549–557.Google Scholar