Algebras of holomorphic functions with Hadamard multiplication

Hermann Render; Andreas Sauer

Studia Mathematica (1996)

  • Volume: 118, Issue: 1, page 77-100
  • ISSN: 0039-3223

Abstract

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A systematic investigation of algebras of holomorphic functions endowed with the Hadamard product is given. For example we show that the set of all non-invertible elements is dense and that each multiplicative functional is continuous, answering some questions in the literature.

How to cite

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Render, Hermann, and Sauer, Andreas. "Algebras of holomorphic functions with Hadamard multiplication." Studia Mathematica 118.1 (1996): 77-100. <http://eudml.org/doc/216265>.

@article{Render1996,
abstract = {A systematic investigation of algebras of holomorphic functions endowed with the Hadamard product is given. For example we show that the set of all non-invertible elements is dense and that each multiplicative functional is continuous, answering some questions in the literature.},
author = {Render, Hermann, Sauer, Andreas},
journal = {Studia Mathematica},
keywords = {Hadamard product; $B_0$-algebras; multiplicative functionals; -algebras; algebras of holomorphic functions; non-invertible elements; multiplicative functional; continuous},
language = {eng},
number = {1},
pages = {77-100},
title = {Algebras of holomorphic functions with Hadamard multiplication},
url = {http://eudml.org/doc/216265},
volume = {118},
year = {1996},
}

TY - JOUR
AU - Render, Hermann
AU - Sauer, Andreas
TI - Algebras of holomorphic functions with Hadamard multiplication
JO - Studia Mathematica
PY - 1996
VL - 118
IS - 1
SP - 77
EP - 100
AB - A systematic investigation of algebras of holomorphic functions endowed with the Hadamard product is given. For example we show that the set of all non-invertible elements is dense and that each multiplicative functional is continuous, answering some questions in the literature.
LA - eng
KW - Hadamard product; $B_0$-algebras; multiplicative functionals; -algebras; algebras of holomorphic functions; non-invertible elements; multiplicative functional; continuous
UR - http://eudml.org/doc/216265
ER -

References

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  15. [15] J. Müller, The Hadamard multiplication theorem and applications in summability theory, Complex Variables Theory Appl. 18 (1992), 155-166. Zbl0756.30002
  16. [16] P. K. Raševskiĭ [P. K. Rashevskiĭ], Closed ideals in a countably generated normed algebra of analytic entire functions, Soviet Math. Dokl. 6 (1965), 717-719. Zbl0139.30401
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  19. [19] W. Żelazko, Metric generalizations of Banach algebras, Dissertationes Math. 47 (1965). Zbl0131.13005

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