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Prime and principal ideals in the algebra \(N^+\). (English) Zbl 0329.46025


MSC:

46E25 Rings and algebras of continuous, differentiable or analytic functions
46H10 Ideals and subalgebras
30H05 Spaces of bounded analytic functions of one complex variable
46E10 Topological linear spaces of continuous, differentiable or analytic functions
46J20 Ideals, maximal ideals, boundaries
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References:

[1] P. L.Duren, Theory of Hp Spaces. New York 1970. · Zbl 0215.20203
[2] P. L. Duren, B. W. Romberg andA. L. Shields, Linear functionals on Hp spaces with 0 <p < 1. J. Reine Angew. Math.238, 32-60 (1969). · Zbl 0176.43102
[3] T. W.Gamelin, uniform Algebras. Englewood Cliffs 1969.
[4] K.Hoffman, Banach Spaces of Analytic Functions. Englewood Cliffs 1962. · Zbl 0117.34001
[5] I.I.Privalow, Randeigenschaften analytischer Funktionen, Berlin 1956.
[6] J. H.Shapiro and A. L.Shields, Unusual topological properties of the Nevanlinna class. (to appear). · Zbl 0323.30033
[7] M. Stoll, The space N* of holomorphic functions on bounded symmetric domains. Ann. Polon. Math.32, 95-110 (1972). · Zbl 0317.32019
[8] M.Stoll, A characterization of F+? N. Proc. Amer. Math. Soc. (to appear). · JFM 06.0326.01
[9] N. Yanagihara, Multipliers and linear functionals on N+. Trans. Amer. Math. Soc.180, 449-461 (1973). · Zbl 0243.46036
[10] N. Yanagihara, The containing Fr?chet space for the class N+. Duke Math. J.40, 93-103 (1973). · Zbl 0247.46040 · doi:10.1215/S0012-7094-73-04010-6
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