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A nonstandard ideal of a radical Banach algebra of power series
Author(s):
Marc P.
Thomas
Journal:
Bull. Amer. Math. Soc.
9
(1983),
331-333.
MSC (1980):
Primary 46J20;
Secondary 47A15
MathSciNet review:
714997
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References:
- 1.
- G. R. Allan, Commutative Banach algebras with power series generators, Radical Banach Algebras and Automatic Continuity (Proc. Long Beach, 1981), edited by J. M. Bachar et al, vol. 975, Springer-Verlag, 1983. MR 697591
- 2.
- W. G. Bade, H. G. Dales and K. B. Laursen, Multipliers of radical Banach algebras of power series, Mem. Amer. Math. Soc. (to appear). MR 743548
- 3.
- S. Grabiner, Weighted shifts and Banach algebras of power series, Amer. J. Math. 97 (1975), 16-42. MR 388145
- 4.
- K. B. Laursen, Ideal structure in radical sequence algebras, Radical Banach Algebras and Automatic Continuity (Proc. Long Beach, 1981), edited by J. M. Bachar et al, vol. 975, Springer-Verlag, 1983. MR 697585
- 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.
- M. P. Thomas, Closed ideals and bi-orthogonal systems in radical Banach algebras of power series, Proc. Edinburgh Math. Soc. 25 (1982), 245-257. MR 678548
- 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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Additional Information:
DOI:
10.1090/S0273-0979-1983-15195-9
PII:
S 0273-0979(1983)15195-9
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