Proper uniform algebras are flat

R. C. Smith

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 2, page 285-286
  • ISSN: 0011-4642

Abstract

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In this brief note, we see that if A is a proper uniform algebra on a compact Hausdorff space X , then A is flat.

How to cite

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Smith, R. C.. "Proper uniform algebras are flat." Czechoslovak Mathematical Journal 59.2 (2009): 285-286. <http://eudml.org/doc/37923>.

@article{Smith2009,
abstract = {In this brief note, we see that if $A$ is a proper uniform algebra on a compact Hausdorff space $X$, then $A$ is flat.},
author = {Smith, R. C.},
journal = {Czechoslovak Mathematical Journal},
keywords = {proper uniform algebra; Hausdorff space; proper uniform algebra; Hausdorff space},
language = {eng},
number = {2},
pages = {285-286},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Proper uniform algebras are flat},
url = {http://eudml.org/doc/37923},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Smith, R. C.
TI - Proper uniform algebras are flat
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 2
SP - 285
EP - 286
AB - In this brief note, we see that if $A$ is a proper uniform algebra on a compact Hausdorff space $X$, then $A$ is flat.
LA - eng
KW - proper uniform algebra; Hausdorff space; proper uniform algebra; Hausdorff space
UR - http://eudml.org/doc/37923
ER -

References

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  1. Michael, E., Pełczyński, A., 10.1215/ijm/1256054447, Illinois J. Math. 11 (1967), 563-579. (1967) MR0217582DOI10.1215/ijm/1256054447
  2. Nyikos, P., Schäffer, J. J., 10.4064/sm-42-3-221-229, Studia Math. 42 (1972), 221-229. (1972) MR0308761DOI10.4064/sm-42-3-221-229
  3. Pełczyński, A., 10.2307/2035434, Proc. Amer. Math. Soc. 18 (1967), 652-660. (1967) MR0213883DOI10.2307/2035434
  4. Schäffer, J. J., Geometry of spheres in normed spaces, Lecture Notes in Pure and Applied Mathematics, No. 20, Marcel-Dekker, Inc., New York-Basel (1976). (1976) MR0467256
  5. Rudin, W., 10.1090/S0002-9939-1957-0085475-7, Proc. Amer. Math. Soc. 8 (1957), 39-42. (1957) Zbl0077.31103MR0085475DOI10.1090/S0002-9939-1957-0085475-7

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