Central decompositions for compact convex sets

A. J. Ellis

Compositio Mathematica (1975)

  • Volume: 30, Issue: 3, page 211-219
  • ISSN: 0010-437X

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Ellis, A. J.. "Central decompositions for compact convex sets." Compositio Mathematica 30.3 (1975): 211-219. <http://eudml.org/doc/89254>.

@article{Ellis1975,
author = {Ellis, A. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {211-219},
publisher = {Noordhoff International Publishing},
title = {Central decompositions for compact convex sets},
url = {http://eudml.org/doc/89254},
volume = {30},
year = {1975},
}

TY - JOUR
AU - Ellis, A. J.
TI - Central decompositions for compact convex sets
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 30
IS - 3
SP - 211
EP - 219
LA - eng
UR - http://eudml.org/doc/89254
ER -

References

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  1. [1] E.M. Alfsen: Compact convex sets and boundary integrals. Springer-Verlag, Berlin (1971). Zbl0209.42601MR445271
  2. [2] E.L. Arenson: Certain properties of algebras of continuous functions. Soviet Math. Dokl.7 (1966) 1522-1524. Zbl0189.13702MR206743
  3. [3] L. Asimow: Decomposable compact convex sets and peak sets for function spaces. Proc. Amer. Math. Soc.25(1) (1970) 75-79. Zbl0192.46802MR259607
  4. [4] E. Bishop: A generalization of the Stone-Weierstrass theorem. Pacific J. Math.11 (1961) 777-783. Zbl0104.09002MR133676
  5. [5] Chu Cho-Ho: Ideaux premiers dans A(X): C.R. Acad. Sci. Paris275 (1972)A 1179-1182. Zbl0244.46066MR310577
  6. [6] A.J. Ellis: On split faces and function algebras. Math. Ann.195 (1972) 159-166. Zbl0215.48305MR291812
  7. [7] A.J. Ellis: On facially continuous functions in function algebras. J. London Math. Soc. (2)5 (1972) 561-564. Zbl0243.46058MR318892
  8. [8] A.J. Ellis: Central decompositions and the essential set for the space A(K). Proc. London Math. Soc. (3)26 (1973) 564-576. Zbl0253.46052MR315399
  9. [9] H. Fakhoury: Solution d'un problème posé par Effros. C.R. Acad. Sci. Paris269 (1969)A 77-79. Zbl0175.13106MR246103
  10. [10] I. Glicksberg: Measures orthogonal to algebras and sets of antisymmetry. Trans. Amer. Math. Soc.105 (1962) 415-435. Zbl0111.11801MR173957
  11. [11] J. Glimm: A Stone-Weierstrass theorem for C*-algebras. Ann. Math.72 (1960) 216-244. Zbl0097.10705MR116210
  12. [12] K. Hoffman and J. Wermer: A characterization of C(X). Pacific J. Math.12 (1962) 941-944. Zbl0111.11902MR150324
  13. [13] R. Nagel: Ideal theorie in geordneten lokalkonvexen Vektorraümen. Dissertation Eberhard-Karls-Universität, Tübingen (1969). 
  14. [14] E.T. Poulsen: A simplex with dense extreme points. Ann. Inst. Fourier (Grenoble) 11 (1961) 83-87. Zbl0104.08402MR123903
  15. [15] M. Rogalski: Topologies faciales dans les convexes compacts: calcul fonctionnel et décomposition spectrale dans le centre d'un espace A(X). Ann. Inst. Fourier (Grenoble) 22 (1972) 1-66. Zbl0219.52001MR333695
  16. [16] J. Vesterstrøm: On the homomorphic image of the center of a C*-algebra. Math. Scand.29 (1971) 134-136. Zbl0231.46097MR306933

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