Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T02:56:51.905Z Has data issue: false hasContentIssue false

Isomorphisms between radical weighted convolution algebras

Published online by Cambridge University Press:  20 January 2009

F. Ghahramani
Affiliation:
Department of MathematicsUniversity for Teacher Education49 Mofateh Ave.TehranIran
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In [4] we have shown that any two semi-simple weighted convolution algebras L11) and L12) are isomorphic. In this paper, given any two radical weighted convolution algebras L11) and L12) we find necessary and sufficient conditions, in terms of ω1 and ω2, for L11) and L12) to be isomorphic.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

REFERENCES

1.Allan, G. R., Ideals of rapidly growing functions, Proc. of Int. Symp. on Functional Analysis and Applications, Ibadan, Nigeria, 1977.Google Scholar
2.Bade, W. G. and Dales, H. G., Norms and ideals in radical convolution algebras, J. Functional Analysis 41 (1981), 77109.CrossRefGoogle Scholar
3.Gelfand, I. M., Raikov, D. A. and Shilov, G. E., Commutative Normed Rings (Chelsea, New York, 1964).Google Scholar
4.Ghahramani, F., Homomorphisms and derivations on weighted convolution algebras, J. London Math. Soc. (2) 21 (1980), 149161.Google Scholar
5.Jewell, N. P. and Sinclair, A. M., Epimorphisms and derivations on L 1(0,1) are continuous, Bull. London Math. Soc. 8 (1976), 135139.CrossRefGoogle Scholar