×

zbMATH — the first resource for mathematics

L’intégration par rapport à une mesure de Radon vectorielle. (French) Zbl 0195.06101

MSC:
28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML
References:
[1] R. G. BARTLE, N. DUNFORD and J. SCHWARTZ, Weak compactness and vector measures, Canad. J. of Math., t. 7 (1955), 289-305. · Zbl 0068.09301
[2] C. BESSAGA et A. PELCZYNSKI, On bases and unconditional convergence of series in Banach spaces. Studia Mathematica T. XVII (1958). · Zbl 0084.09805
[3] NICOLAS BOURBAKI, Intégration, Chapitres 1-4, 2e édition, 5, 6. Paris, Hermann, 1956, 1965.
[4] J. DENY, LES potentiels d’énergie finie, Acta Mathematica, 82 (1950), 107-183. · Zbl 0034.36201
[5] J. DIEUDONNÉ, Sur la convergence de suites de mesures de Radon Anais da Acad. Bras. Ciencias, 23 (1951) 81-115. · Zbl 0043.11202
[6] N. DINCULEANU, Vector measures (Pergamon Press). · Zbl 0142.10502
[7] N. DUNFORD, Uniformity in linear spaces, Trans. Amer. Math. Soc., vol. 44 (1938), 305-356. · JFM 64.0371.01
[8] N. DUNFORD and B. J. PETTIS, Linear operations on summable functions, Trans. Amer. Math. Soc., vol. 47 (1940), 323-392. · JFM 66.0556.01
[9] N. DUNDORD and J. SCHWARTZ, Linear operators. vol. I : General Theory. New York, London, Interscience Publishers, (1958). · Zbl 0084.10402
[10] G. FOX, Extension of a bounded vector measure with values in a reflexive Banach space, Bull. Canad. Math. 10, n° 4, (1967) 525-529. · Zbl 0186.46501
[11] A. GROTHENDIECK, Sur LES applications linéaires faiblement compactes d’espaces du type C(K), Canad. J. of Math., t. 5, (1953), 129-173. · Zbl 0050.10902
[12] W. HACKENBROCH, Integration vektorwertiger funktionen nach operatorwertigen maben, Math. Zeitschr. 105, 327-344 (1968). · Zbl 0179.17803
[13] M. MORSE and W. TRANSUE, C-bimeasures and their integral extensions, Annals of Mathematics, vol. 64, n° 3 (1956). · Zbl 0073.27302
[14] A. PELCZYNSKI, Projections in certain Banach spaces. Studia Mathematica T. XIX (1960). · Zbl 0104.08503
[15] J. B. PETTIS, On integration in vector spaces. Trans. Amer. Math. Soc. vol. 44 (1938), 277-304. · JFM 64.0371.02
[16] R. S. PHILLIPS, On linear transformations, Trans. Amer. Math. Soc., vol. 48 (1940), 516-541. · JFM 66.0554.01
[17] L. SCHWARTZ, Sous-espaces hilbertiens d’espaces vectoriels topologiques et noyaux associés, Journal d’Analyse Mathématique, vol. XIII (1964). · Zbl 0124.06504
[18] E. THOMAS, L’intégration par rapport à une mesure de Radon vectorielle, Séminaire Choquet (Initiation à l’Analyse), 7e année, 1967-1968, n° B.10. · Zbl 0184.17701
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.