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Closed ideals of
l1(ωn) when
{ωn} is
star-shaped
Mark Phillip Thomas |
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Vol. 105 (1983), No. 1, 237–255
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Abstract |
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Let A = l1(ωn) be a radical Banach algebra of power series where the weight {ωn} is star-shaped. Let T be the operator of right translation on A. We give sufficient conditions for all closed ideals of A to be standard. These cases are more general than those previously considered, since in all these cases, T is unicellular but not a basis operator. We also construct a large class of such algebras A in which there are elements x such that the closed ideal (Ax)− is standard, but the algebraic ideal Ax contains no power of z. |
Mathematical Subject Classification 2000
Primary: 46J05
Secondary: 47D30
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Milestones
Received: 29 April 1981
Published: 1 March 1983
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Authors |
| Mark Phillip Thomas | |
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