An evaluating characterization of homomorphisms

Karim Boulabiar

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 3, page 211-215
  • ISSN: 0044-8753

Abstract

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This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions.

How to cite

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Boulabiar, Karim. "An evaluating characterization of homomorphisms." Archivum Mathematicum 044.3 (2008): 211-215. <http://eudml.org/doc/250475>.

@article{Boulabiar2008,
abstract = {This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions.},
author = {Boulabiar, Karim},
journal = {Archivum Mathematicum},
keywords = {algebra of real-valued functions; evaluating linear functional; homomorphism; Lindelöf space; algebra of real-valued functions; evaluating linear functional; homomorphism; Lindelöf space},
language = {eng},
number = {3},
pages = {211-215},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An evaluating characterization of homomorphisms},
url = {http://eudml.org/doc/250475},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Boulabiar, Karim
TI - An evaluating characterization of homomorphisms
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 3
SP - 211
EP - 215
AB - This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions.
LA - eng
KW - algebra of real-valued functions; evaluating linear functional; homomorphism; Lindelöf space; algebra of real-valued functions; evaluating linear functional; homomorphism; Lindelöf space
UR - http://eudml.org/doc/250475
ER -

References

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  1. Biström, P., Bjon, S., Lindström, M., Remarks on homomorphisms on certain subalgebras of C ( X ) , Math. Japon. 37 (1992), 105–109. (1992) Zbl0798.46016MR1148522
  2. Blasco, J. L., 10.1023/B:AMHU.0000023212.91183.38, Acta Math. Hungar. 102 (2004), 141–150. (2004) MR2038174DOI10.1023/B:AMHU.0000023212.91183.38
  3. Bonsall, F. F., Duncan, J., Complete Normed Algebras, Springer Verlag, Berlin–Heidelberg–New York, 1973. (1973) Zbl0271.46039MR0423029
  4. Garrido, I., Gómez, J., Jaramillo, J., 10.4153/CJM-1994-041-3, Canad. J. Math. 46 (1994), 734–745. (1994) MR1289057DOI10.4153/CJM-1994-041-3
  5. Gillman, L., Jerison, M., Rings of Continuous Functions, Springer Verlag, Berlin–Heidelberg–New York, 1976. (1976) Zbl0327.46040MR0407579
  6. Isbell, J., 10.2307/1970045, Ann. Math. 68 (1958), 96–125. (1958) MR0103407DOI10.2307/1970045
  7. Kriegl, A., Michor, P. W., The Convenient Setting of Global Analysis, Math. Surveys Monogr., 1997. (1997) Zbl0889.58001MR1471480
  8. Steen, L. A., Seebach, J. A., Counterexamples in Topology, Springer Verlag, Berlin–Heidelberg–New York, 1978. (1978) Zbl0386.54001MR0507446

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