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Compact multipliers on weighted hypergroup algebras. II

Published online by Cambridge University Press:  24 October 2008

F. Ghahramani  and
A. R. Medgalchi
F. Ghahramani
Affiliation:
Department of Mathematics, Teacher Training University, Tehran, Iran
A. R. Medgalchi
Affiliation:
Department of Mathematics, Teacher Training University, Tehran, Iran
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Extract

In [7] we gave a description of compact multipliers of Lω(X), and left open the question of whether weakly compact multipliers on Lω(X) are compact. This had already been answered for some examples of hypergroup algebras ([1], [2], [6] and [10]). Here we give a positive answer to this question in the general setting of a weighted hypergroup algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 1 , July 1986 , pp. 145 - 149
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Akemann, C.. Some mapping properties of the group algebra of a compact group. Pacific J. Math. 22 (1967), 1–8.CrossRefGoogle Scholar
[2]Bade, W. G. and Dales, H. O.. Norms and ideals in radical convolution algebras. J. Functional Analysis 41 (1981), 77–109.CrossRefGoogle Scholar
[3]Dieundonné, J.. Sur la convergence des suites de mesures de Radon. Anais Acad. Brasil Cienc. 23 (1951), 21–38.Google Scholar
[4]Dunford, N. and Schwartz, J.. Linear Operators, part 1 (Interscience, 1958).Google Scholar
[5]Dunkl, F.The measure algebra of a locally compact hypergroup. Trans. Amer. Math. Soc. 179 (1973), 331–348.CrossRefGoogle Scholar
[6]Ghahramani, F.. Weighted group algebra as an ideal in its second dual space. Proc. Amer. Math. Soc. 90 (1984), 71–76.CrossRefGoogle Scholar
[7]Ghahramani, F. and Medgalchi, A. R.. Compact multipliers on weighted bypergroup algebras. Math. Proc. Cambridge Philos. Soc. 98 (1985), 493–500.CrossRefGoogle Scholar
[8]Grothendieck, A.. Critéres de compacité dans les espaces fonctionnels gnéraux. Amer. J. Math. 74 (1952), 168–186.CrossRefGoogle Scholar
[9]Grothendieck, A.. Sur les applications linéaires faiblement compactes des espaces du type C(K). Canad. J. Math. 5 (1953), 129–173.CrossRefGoogle Scholar
[10]Sakai, S.. Weakly compact operators on operator algebras. Pacific J. Math. 14 (1964), 659–664.CrossRefGoogle Scholar