Vector Daniell integrals

Susumu Okada

Mathematica Slovaca (1984)

  • Volume: 34, Issue: 1, page 35-65
  • ISSN: 0232-0525

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Okada, Susumu. "Vector Daniell integrals." Mathematica Slovaca 34.1 (1984): 35-65. <http://eudml.org/doc/32212>.

@article{Okada1984,
author = {Okada, Susumu},
journal = {Mathematica Slovaca},
keywords = {vector Daniell integral; Riesz space; Banach space-valued integral; Stone extension; Beppo Levi theorem},
language = {eng},
number = {1},
pages = {35-65},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Vector Daniell integrals},
url = {http://eudml.org/doc/32212},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Okada, Susumu
TI - Vector Daniell integrals
JO - Mathematica Slovaca
PY - 1984
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 34
IS - 1
SP - 35
EP - 65
LA - eng
KW - vector Daniell integral; Riesz space; Banach space-valued integral; Stone extension; Beppo Levi theorem
UR - http://eudml.org/doc/32212
ER -

References

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  1. ALIPRANTIS C. D., BURKINSHAW O., Locally Solid Riesz Spaces, Academic Press, New Yoгk, 1978. (1978) Zbl0402.46005MR0493242
  2. BAUER H., Suг ľéquivalence des théoгie de ľintégгation selon N. Bouгbaki et selon M. H. Stone, Bull. Soc. Math. France, 85, 1957, 51-75. (1957) MR0092844
  3. BOURBAKI N., Intégration, Chapitгe 6. Heгmann, Paгis, 1959. (1959) 
  4. BOURBAKI N., Topologie Générale, Chapitres 1, 2, Quatгième edition. Heгmann, Paris, 1965. (1965) 
  5. DANIELL P. J., A geneгal form of integral, Ann, of Math. (2) 19, 1917-18, 279-294. (1917) 
  6. DODDS P. G., σ-weakly compact mappings of Riesz spaces, Tгans. Amer. Math. Soc., 214, 1975, 389-402. (1975) Zbl0313.46011MR0385629
  7. KELLEY J. L., NAMIOKA I., Lineaг Topological Spaces, Van Nostгand, New Yoгk, 1963. (1963) MR0166578
  8. KLUVÁNEK L., Intégгale vectoгielle de Daniell, Mat. fyz. časop. SAN 15, 1965, 146-161. (1965) 
  9. KLUVÁNEK I., Completion of vectoг measuгe spaces, Rev. Roum. Math. Pures et Appl. 12, 1967, 1483-1488. (1967) MR0228643
  10. KLUVÁNEK I., The гange of a vectoг-valued measuгe, Math. Systems Theoгy 7, 1973, 44-54. (1973) 
  11. KLUVÁNEK I., The extension and closuгe of vectoг measuгe, In: Vectoг and Opeгatoг Valued Measuгes and Applications, Academic Press, New Yoгk, 1973, 175-190. (1973) 
  12. I. KLUVÁNEK L., KNOWLES G., Vectoг Measuгes and Contгol Systems, North Holland, Amsteгdam, 1976. (1976) 
  13. KÖTHE G., Topological Vector Spaces I, Springer-Veгlag, Beгlin, 1969. (1969) 
  14. МАŘÍK J., Ргеdstavlenie funkcionala v vide integrala, Czechoslovak Math. J., 5, 1955, 467-487. (1955) 
  15. RIЕSZ F., SZ-NAGУ В., Leçons d'Analyse Fonctionelle, Académiai Kiadó, Budapest, 1952. (1952) 
  16. STONE M. H., Notes on integration I, II, Proc. Nat. Acad. Sci. U.S.A., 34, 1948, 336-342 and 447-455. (1948) MR0025552
  17. ТНОМАS Е., L'intégration par rapport à une mesure de Radon vectorielle, Ann. inst. Fourier, Grenoble, 20 - 2, 1970, 55-191. (1970) MR0463396

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