Abstract
We investigate the problem whether every closed ideal in the group algebrasA(G) is generated by a single function. For the algebrasA r(R n),n≧6, we give a negative solution. We also obtain some negative results for general locally compact abelian groups.
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This paper is a part of the author’s Ph. D. thesis prepared at the Hebrew University of Jerusalem under the supervision of Professor Y. Katznelson, to whom the author wishes to express his thanks for his helpful guidance, and valuable remarks.
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Atzmon, A. Non-singly-generated closed ideals in group algebras. Israel J. Math. 7, 303–310 (1969). https://doi.org/10.1007/BF02788863
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DOI: https://doi.org/10.1007/BF02788863