The representations of linear functionals by measures on sets of extreme points

Errett Bishop; Karel De Leeuw

Annales de l'institut Fourier (1959)

  • Volume: 9, page 305-331
  • ISSN: 0373-0956

How to cite

top

Bishop, Errett, and De Leeuw, Karel. "The representations of linear functionals by measures on sets of extreme points." Annales de l'institut Fourier 9 (1959): 305-331. <http://eudml.org/doc/73756>.

@article{Bishop1959,
author = {Bishop, Errett, De Leeuw, Karel},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {eng},
pages = {305-331},
publisher = {Association des Annales de l'Institut Fourier},
title = {The representations of linear functionals by measures on sets of extreme points},
url = {http://eudml.org/doc/73756},
volume = {9},
year = {1959},
}

TY - JOUR
AU - Bishop, Errett
AU - De Leeuw, Karel
TI - The representations of linear functionals by measures on sets of extreme points
JO - Annales de l'institut Fourier
PY - 1959
PB - Association des Annales de l'Institut Fourier
VL - 9
SP - 305
EP - 331
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/73756
ER -

References

top
  1. [1] R. ARENS and I. SINGER, Function values as boundary integrals, Proc. Amer. Math. Soc., vol. 5 (1954), 735-745. Zbl0056.33501MR16,373f
  2. [2] H. BAUER, Un problème de Dirichlet pour la frontière de Šilov d'un espace compact, C. R. Acad. Sci., Paris, vol. 247 (1958), pp. 843-846. Zbl0083.09501
  3. [3] E. BISHOP, Some theorems concerning function algebras, Bull. Amer. Math. Soc., vol. 85 (1959), pp. 77-78. Zbl0085.06502MR22 #190
  4. [4] E. BISHOP, A minimal boundary for function algebras, to appear in Pacific. Jour. Math. Zbl0087.28503
  5. [5] H. BOHNENBLUST and S. KARLIN, Geometrical properties of the unit sphere of Banach algebras, Ann. of Math., vol. 62 (1955), pp. 217-229. Zbl0067.35002MR17,177a
  6. [6] N. BOURBAKI, Integration, Eléments de Mathématiques, XIII, Book VI, Paris, 1952. 
  7. [7] G. CHOQUET, Existence des représentations intégrales au moyen des points extrémaux dans les cônes convexes, C. R. Acad. Sci., Paris, vol. 243 (1956), pp. 699-702. Zbl0071.10702MR18,219b
  8. [8] G. CHOQUET, Existence des représentations intégrales dans les cônes convexes, C. R. Acad. Sci., Paris, Vol. 243 (1956), 736-737. Zbl0071.10703MR19,399e
  9. [9] G. CHOQUET, Existence et unicité des représentations intégrales. Séminaire Bourbaki, Décembre 1956, 139-01 à 139-15. Zbl0121.09204
  10. [10] I. GLICKSBERG, The representation of functionals by integrals, Duke Math. Jour., vol. 19 (1952), pp. 253-261. Zbl0048.09004MR14,288d
  11. [11] P. HALMOS, Measure Theory, Van Nostrand, 1950. Zbl0040.16802MR11,504d
  12. [12] R. KADISON, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., n° 7. Zbl0042.34801
  13. [13] J. KELLEY, General topology, Van Nostrand, 1957. 

Citations in EuDML Documents

top
  1. Heron Sherwood Collins, Affine images of certain sets of measures
  2. Gustave Choquet, Le théorème de représentation intégrale dans les ensembles convexes compacts
  3. Paul-André Meyer, Sur les démonstrations nouvelles du théorème de Choquet
  4. David Alan Edwards, On the representation of certain functionals by measures on the Choquet boundary
  5. Gustave Choquet, Le théorème de représentation intégrale dans les ensembles convexes compacts
  6. Gustave Choquet, Remarques à propos de la démonstration d'unicité de P.-A. Meyer
  7. David Alan Edwards, G. F. Vincent-Smith, A Weierstrass-Stone theorem for Choquet simplexes
  8. Pavel Čihák, Comparability of Borel probability measures on euclidean line
  9. Dale Alspach, Operators on C(ω^α) which do not preserve C(ω^α)
  10. Alain Goullet de Rugy, Faces complémentables dans un simplexe

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.