Hadamard's multiplication theorem - recent developments

• Autorzy: Hermann Render
• Języki publikacji: EN

Słowa kluczowe

EN

Hadamard product; coefficient multiplier; domain of efficient summability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 74
• Numer: 1
• Strony: 79-92

Daty

wydano

1997

otrzymano

1996-11-27

Twórcy

autor

Hermann Render

• Fachbereich Mathematik, Universität Duisburg, Lotharstr. 65, D-47057 Duisburg, Federal Republic of Germany

Bibliografia

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• [18] P. K. Raševskiĭ, Closed ideals in a countably generated normed algebra of analytic entire functions, Soviet Math. Dokl. 6 (1965), 717-719.
• [19] R. Remmert, Funktionentheorie II, Springer, Berlin, 1991.
• [20] H. Render, Homomorphisms on Hadamard algebras, Rend. Circ. Mat. Palermo (2) Suppl. 40 (1996), 153-158.
• [21] H. Render, Topological algebras with an orthogonal total sequence, submitted.
• [22] H. Render and A. Sauer, Algebras of holomorphic functions with Hadamard multiplication, Studia Math. 118 (1996), 77-100.
• [23] H. Render and A. Sauer, Invariance properties of homomorphisms on algebras of holomorphic functions with Hadamard multiplication, ibid. 121 (1996), 53-65.
• [24] H. Render and A. Sauer, Multipliers on vector spaces of holomorphic functions, submitted.
• [25] H. H. Schaefer, Topological Vector Spaces, Springer, Berlin, 1971.
• [26] S. Schottlaender, Der Hadamardsche Multiplikationssatz und weitere Kompositionssätze der Funktionentheorie, Math. Nachr. 11 (1954), 239-294.
• [27] M. von Renteln, Ideale in Ringen ganzer Funktionen endlicher Ordnung, Mitt. Math. Sem. Giessen 95 (1972), 1-52.
• [28] W. Żelazko, Banach Algebras, Elsevier, Amsterdam, 1973.