Closed ideals in with the Duhamel product as multiplication |
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| Authors: | MT Karaev |
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| Institution: | Institute of Mathematics and Mechanics, Azerbaijanian National Academy of Sciences, F. Agaev 9, 370141 Baku, Azerbaijan |
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| Abstract: | Let (C∞, ) denote the algebra of infinitely differentiable functions in 0,1] with Duhamel product  as multiplication. We describe all the closed ideals in (C∞,). As a consequence we obtain that the integration operator I,  , is unicellular in the space C∞0,1], which is the solution of a long-standing problem. |
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| Keywords: | Duhamel product Closed ideal Invariant subspace Unicellularity |
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