Hadamard's multiplication theorem - recent developments

Hermann Render

Colloquium Mathematicae (1997)

  • Volume: 74, Issue: 1, page 79-92
  • ISSN: 0010-1354

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Render, Hermann. "Hadamard's multiplication theorem - recent developments." Colloquium Mathematicae 74.1 (1997): 79-92. <http://eudml.org/doc/210503>.

@article{Render1997,
author = {Render, Hermann},
journal = {Colloquium Mathematicae},
keywords = {Hadamard product; coefficient multiplier; domain of efficient summability; commutative algebra; structure of prime ideals; semisimple, completely metrizable, locally convex algebra; topology of locally uniform convergence},
language = {eng},
number = {1},
pages = {79-92},
title = {Hadamard's multiplication theorem - recent developments},
url = {http://eudml.org/doc/210503},
volume = {74},
year = {1997},
}

TY - JOUR
AU - Render, Hermann
TI - Hadamard's multiplication theorem - recent developments
JO - Colloquium Mathematicae
PY - 1997
VL - 74
IS - 1
SP - 79
EP - 92
LA - eng
KW - Hadamard product; coefficient multiplier; domain of efficient summability; commutative algebra; structure of prime ideals; semisimple, completely metrizable, locally convex algebra; topology of locally uniform convergence
UR - http://eudml.org/doc/210503
ER -

References

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  16. [16] J. Müller, The Hadamard multiplication theorem and applications in summability theory, Complex Variables Theory Appl. 18 (1992), 75-81. 
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  20. [20] H. Render, Homomorphisms on Hadamard algebras, Rend. Circ. Mat. Palermo (2) Suppl. 40 (1996), 153-158. Zbl0884.46035
  21. [21] H. Render, Topological algebras with an orthogonal total sequence, submitted. 
  22. [22] H. Render and A. Sauer, Algebras of holomorphic functions with Hadamard multiplication, Studia Math. 118 (1996), 77-100. 
  23. [23] H. Render and A. Sauer, Invariance properties of homomorphisms on algebras of holomorphic functions with Hadamard multiplication, ibid. 121 (1996), 53-65. Zbl0864.46029
  24. [24] H. Render and A. Sauer, Multipliers on vector spaces of holomorphic functions, submitted. 
  25. [25] H. H. Schaefer, Topological Vector Spaces, Springer, Berlin, 1971. 
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  28. [28] W. Żelazko, Banach Algebras, Elsevier, Amsterdam, 1973. 

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