메뉴 건너뛰기




Volumn 21, Issue 4, 2002, Pages 851-864

The finitely additive integral of multifunctions with closed and convex values

Author keywords

Aumann integral; Debreu integral; Finitely additive measures; Integrable selections; Pettis integral; Stone extension

Indexed keywords


EID: 0037005356     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1112     Document Type: Article
Times cited : (11)

References (26)
  • 1
    • 0001268791 scopus 로고    scopus 로고
    • Weak compactness in Pettis integration
    • Amrani, A. and C. Castaing: Weak compactness in Pettis integration. Bull. Pol. Acad. Sci. 45 (1997), 139 - 150.
    • (1997) Bull. Pol. Acad. Sci. , vol.45 , pp. 139-150
    • Amrani, A.1    Castaing, C.2
  • 2
    • 0013532206 scopus 로고    scopus 로고
    • Lemme de fatou pour l'integrale de pettis
    • Amrani, A.: Lemme de Fatou pour l'integrale de Pettis. Publ. Mat. 42 (1998), 67 - 79.
    • (1998) Publ. Mat. , vol.42 , pp. 67-79
    • Amrani, A.1
  • 4
    • 0034662544 scopus 로고    scopus 로고
    • p-spaces in the finitely additive setting and related stories
    • p-spaces in the finitely additive setting and related stories. J. Math. Anal. Appl. 248 (2000), 588 - 624.
    • (2000) J. Math. Anal. Appl. , vol.248 , pp. 588-624
    • Basile, A.1    Bhaskara Rao, K.P.S.2
  • 6
    • 0001138363 scopus 로고
    • Remarks on the set-valued integrals of Debreu and Aumann
    • Byrne, C. L.: Remarks on the set-valued integrals of Debreu and Aumann. J. Math. Anal. Appl. 62 (1978), 243 - 246.
    • (1978) J. Math. Anal. Appl. , vol.62 , pp. 243-246
    • Byrne, C.L.1
  • 9
    • 0000212640 scopus 로고
    • Integration of correspondences
    • (eds.: L. Le Cam et al.). Berkely: University of California Press
    • Debreu, G.: Integration of correspondences. In: Proc. Fifth Berkeley Symposium on Math. Stat. & Prob., II/Part 1 (eds.: L. Le Cam et al.). Berkely: University of California Press 1967, pp. 351 - 372.
    • (1967) Proc. Fifth Berkeley Symposium on Math. Stat. & Prob., II/Part 1 , pp. 351-372
    • Debreu, G.1
  • 10
    • 0002380924 scopus 로고
    • Completeness of function spaces
    • de Lucia, P. and H. Weber: Completeness of function spaces. Ricerche Mat. 39 (1990), 81 - 97.
    • (1990) Ricerche Mat. , vol.39 , pp. 81-97
    • De Lucia, P.1    Weber, H.2
  • 11
    • 0003087399 scopus 로고
    • Vector measures
    • Rhode Island (USA): Amer. Math. Soc.
    • Diestel, J. and J. J. Uhl: Vector Measures (Math. Survey: Vol. 15). Rhode Island (USA): Amer. Math. Soc. 1977.
    • (1977) Math. Survey , vol.15
    • Diestel, J.1    Uhl, J.J.2
  • 14
    • 84972556959 scopus 로고
    • p spaces over finitely additive measures
    • p spaces over finitely additive measures. Pacific J. Math. 26 (1968), 265 - 271.
    • (1968) Pacific J. Math. , vol.26 , pp. 265-271
    • Feffermann, C.1
  • 16
    • 38249042456 scopus 로고
    • p completeness for finitely additive vector measure
    • p completeness for finitely additive vector measure. J. Math. Anal. Appl. 113 (1986), 266 - 279.
    • (1986) J. Math. Anal. Appl. , vol.113 , pp. 266-279
    • Hagood, J.W.1
  • 17
    • 0001577815 scopus 로고
    • Integrals, conditional expectations, and martingales of multivalued functions
    • Hiai, F. and H. Umegaki: Integrals, Conditional Expectations, and Martingales of Multivalued Functions. J. Multivariate Anal. 7 (1977), 149 - 182.
    • (1977) J. Multivariate Anal. , vol.7 , pp. 149-182
    • Hiai, F.1    Umegaki, H.2
  • 18
    • 0013502336 scopus 로고    scopus 로고
    • Integration with respect to orthogonally scattered measures
    • Isidori, M. C., Martellotti, A. and A. R. Sambucini: Integration with respect to orthogonally scattered measures. Math. Slovaca 48 (1999), 253 - 269.
    • (1999) Math. Slovaca , vol.48 , pp. 253-269
    • Isidori, M.C.1    Martellotti, A.2    Sambucini, A.R.3
  • 19
    • 0002897948 scopus 로고
    • Extension of additive set functions with values in a topological group
    • Lipecki, Z.: Extension of additive set functions with values in a topological group. Bull. Pol. Acad. Sci. Math. 22 (1974), 19 - 27.
    • (1974) Bull. Pol. Acad. Sci. Math. , vol.22 , pp. 19-27
    • Lipecki, Z.1
  • 20
    • 0013541588 scopus 로고    scopus 로고
    • On the comparison between Aumann and Bochner integrals
    • Martellotti, A. and A. R. Sambucini: On the comparison between Aumann and Bochner integrals. J. Math. Anal. Appl. 260 (2001), 6 - 17.
    • (2001) J. Math. Anal. Appl. , vol.260 , pp. 6-17
    • Martellotti, A.1    Sambucini, A.R.2
  • 21
    • 84968480766 scopus 로고
    • An embedding theorem for spaces of convex set
    • Radström, H.: An embedding theorem for spaces of convex set. Proc. Amer. Math. Soc. 3 (1952), 165 - 169.
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 165-169
    • Radström, H.1
  • 24
    • 0035210610 scopus 로고    scopus 로고
    • Markets with many more agents than commodities: Aumann's "hidden" assumptions
    • Tourky, R. and N. C. Yannelis: Markets with many more agents than commodities: Aumann's "hidden" assumptions. J. Econ. Theory 101 (2001), 189 - 221.
    • (2001) J. Econ. Theory , vol.101 , pp. 189-221
    • Tourky, R.1    Yannelis, N.C.2
  • 25
    • 85157246168 scopus 로고
    • Pettis-Aumann integration
    • Xue, X. P.: Pettis-Aumann integration. J. Harbin Inst. Tech. 3 (1990), 7 - 9.
    • (1990) J. Harbin Inst. Tech. , vol.3 , pp. 7-9
    • Xue, X.P.1
  • 26
    • 0013466308 scopus 로고    scopus 로고
    • Convergence theorems for Pettis integrable multifunctions
    • Ziat, H.: Convergence theorems for Pettis integrable multifunctions. Bull. Pol. Acad. Sci. Math. 45 (1997), 123 - 137.
    • (1997) Bull. Pol. Acad. Sci. Math. , vol.45 , pp. 123-137
    • Ziat, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.