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Roan, Raymond C.

Weak-* generators for a class of subalgebras of \(l^1\). (English) Zbl 0452.46004

J. Funct. Anal. 39, 67-74 (1980).
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MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces

Keywords:

weak-* generators; Dirichlet space; topological algebra of analytic functions
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References:

[1] Banach, S., Théorie des Opérations Linéaires (1955), Chelsea: Chelsea New York · Zbl 0067.08902
[2] Kopp, R. P., A Class of Banach Spaces of Analytic Functions, (Thesis (1966), The University of Michigan: The University of Michigan Ann Arbor) · Zbl 0179.46105
[3] Kopp, R. P., A subcollection of algebras in a collection of Banach spaces, Pacific J. Math., 30, 433-435 (1969) · Zbl 0179.46105
[4] Newman, D. J., Generators of \(l^1\), Trans. Amer. Math. Soc., 113, 393-396 (1964) · Zbl 0141.31403
[5] Roan, R., Weak-∗ Generators of \(H^∞\) and \(l^1\), Pacific J. Math., 71, 537-544 (1977) · Zbl 0354.46035
[7] Rubel, L.; Shields, A., The space of bounded analytic functions on a region, Ann. Inst. Fourier Grenoble, 16, 235-277 (1966) · Zbl 0152.13202
[8] Shields, A., Weighted shift operators and analytic function theory, (Topics in Operator Theory. Topics in Operator Theory, Math. Surveys, No. 13 (1974), Amer. Math. Soc: Amer. Math. Soc Providence, R. I), 49-128 · Zbl 0303.47021
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