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A nonstandard ideal of a radical Banach algebra of power series


Author: Marc P. Thomas
Journal: Bull. Amer. Math. Soc. 9 (1983), 331-333
MSC (1980): Primary 46J20; Secondary 47A15
DOI: https://doi.org/10.1090/S0273-0979-1983-15195-9
MathSciNet review: 714997
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  • 2. W. G. Bade, H. G. Dales, and K. B. Laursen, Multipliers of radical Banach algebras of power series, Mem. Amer. Math. Soc. 49 (1984), no. 303, v+84. MR 743548, https://doi.org/10.1090/memo/0303
  • 3. S. Grabiner, Weighted shifts and Banach algebras of power series, Amer. J. Math. 97 (1975), 16-42. MR 388145
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  • 5. J. P. McClure, Nonstandard ideals and approximations in primary weighted l, preprint.
  • 6. N. K. Nikolskiĭ, Selected problems of weighted approximation and spectral analysis, Trudy Mat. Inst. Steklov 120 (1974). Izdat. "Nauka" Leningrad Otdel, Leningrad, 1974; English transl., Proc. Steklov Inst. Math., No. 120 (1974), Amer. Math. Soc., Providence, R.I., 1976. MR 467269
  • 7. A. L. Shields, Weighted shift operators and analytic function theory, Topics in Operator Theory (C. Pearcy, ed.), Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974. MR 361899
  • 8. Marc P. Thomas, Closed ideals and bi-orthogonal systems in radical Banach algebras of power series, Proc. Edinburgh Math. Soc. (2) 25 (1982), no. 3, 245–257. MR 678548, https://doi.org/10.1017/S0013091500016734
  • 9. M. P. Thomas, Approximation in the radical algebra l, Radical Banach Algebras and Automatic Continuity (Proc. Long Beach, 1981), edited by J. M. Bachar et al, vol. 975, Springer-Verlag, 1983.
  • 10. M. P. Thomas, A non-standard closed subalgebra of a radical Banach algebra of power series, J. London Math. Soc. (to appear).

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DOI: https://doi.org/10.1090/S0273-0979-1983-15195-9

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