Properties of the sequence of closed powers of a maximal ideal in a sup-norm algebra

Properties of the sequence of closed powers of a maximal ideal in a sup-norm algebra
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by S. J. Sidney

Trans. Amer. Math. Soc. 131 (1968), 128-148

DOI: https://doi.org/10.1090/S0002-9947-1968-0222651-6

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References

Andrew Browder, Point derivations on function algebras, J. Functional Analysis 1 (1967), 22–27. MR 0211262, DOI 10.1016/0022-1236(67)90024-9
John Garnett, A topological characterization of Gleason parts, Pacific J. Math. 20 (1967), 59–63. MR 205107
B. R. Gelbaum, Tensor products and related questions, Trans. Amer. Math. Soc. 103 (1962), 525–548. MR 138966, DOI 10.1090/S0002-9947-1962-0138966-0

Function algebras

Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
K. Hoffman and I. M. Singer, Maximal algebras of continuous functions, Acta Math. 103 (1960), 217–241. MR 117540, DOI 10.1007/BF02546357
Eva Kallin, A nonlocal function algebra, Proc. Nat. Acad. Sci. U.S.A. 49 (1963), 821–824. MR 152907, DOI 10.1073/pnas.49.6.821
C. E. Rickart, Analytic phenomena in general function algebras, Pacific J. Math. 18 (1966), 361–377. MR 198279
S. J. Sidney, Point derivations in certain sup-norm algebras, Trans. Amer. Math. Soc. 131 (1968), 119–127. MR 221292, DOI 10.1090/S0002-9947-1968-0221292-4

Powers of maximal ideals in function algebras

John Wermer, Banach algebras and analytic functions, Advances in Math. 1 (1961), no. fasc. 1, 51–102. MR 143063, DOI 10.1016/0001-8708(65)90036-8
John Wermer, Bounded point derivations on certain Banach algebras, J. Functional Analysis 1 (1967), 28–36. MR 0215105, DOI 10.1016/0022-1236(67)90025-0
Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0120249