Examples of infinitely generated function algebras

P. J. de Paepe

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 1, page 77-81
  • ISSN: 0011-4642

Abstract

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Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.

How to cite

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de Paepe, P. J.. "Examples of infinitely generated function algebras." Czechoslovak Mathematical Journal 53.1 (2003): 77-81. <http://eudml.org/doc/30760>.

@article{dePaepe2003,
abstract = {Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.},
author = {de Paepe, P. J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {function algebra; generators; maximal ideal space; function algebra; generators; maximal ideal space},
language = {eng},
number = {1},
pages = {77-81},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Examples of infinitely generated function algebras},
url = {http://eudml.org/doc/30760},
volume = {53},
year = {2003},
}

TY - JOUR
AU - de Paepe, P. J.
TI - Examples of infinitely generated function algebras
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 77
EP - 81
AB - Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
LA - eng
KW - function algebra; generators; maximal ideal space; function algebra; generators; maximal ideal space
UR - http://eudml.org/doc/30760
ER -

References

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  1. Uniform Algebras, Prentice-Hall, Englewood Cliffs, N.J., 1969. (1969) Zbl0213.40401MR0410387
  2. Bounded Analytic Functions, Academic Press, N.Y., 1981. (1981) Zbl0469.30024MR0628971
  3. 10.1016/S1385-7258(79)80011-6, Indag. Math. 41 (1979), 163–170. (1979) Zbl0409.46059MR0535564DOI10.1016/S1385-7258(79)80011-6
  4. A note on pervasive function algebras, Czechoslovak Math. J. 41(116) (1991), 61–63. (1991) MR1087623
  5. The Theory of Uniform Algebras, Bogden & Quigley, Tarrytown-on-Hudson, N.Y., 1971. (1971) Zbl0286.46049MR0423083

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