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Volumn 12, Issue 2, 2005, Pages 383-395

Fatou's lemma for multifunctions with unbounded values in a dual space

Author keywords

Asymptotic cone; Fatou's lemma in everal dimensions; Gelfand integral; Young measure

Indexed keywords


EID: 32044457134     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (33)
  • 1
    • 0001391430 scopus 로고
    • A note on Fatou's lemma in several dimensions
    • Z. Artstein: A note on Fatou's lemma in several dimensions, J. Math. Econom. 6 (1979) 277-282.
    • (1979) J. Math. Econom. , vol.6 , pp. 277-282
    • Artstein, Z.1
  • 2
    • 50549204934 scopus 로고
    • Integrals of set-valued functions
    • R. J. Aumann: Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965) 1-12.
    • (1965) J. Math. Anal. Appl. , vol.12 , pp. 1-12
    • Aumann, R.J.1
  • 3
    • 0000539849 scopus 로고
    • A unifying note on Fatou's lemma in several dimensions
    • E. J. Balder: A unifying note on Fatou's lemma in several dimensions, Math. Oper. Res. 9 (1984) 267-275.
    • (1984) Math. Oper. Res. , vol.9 , pp. 267-275
    • Balder, E.J.1
  • 4
    • 0021466176 scopus 로고
    • A general approach to lower semicontinuity and lower closure in optimal control theory
    • E. J. Balder: A general approach to lower semicontinuity and lower closure in optimal control theory, SIAM J. Control Optim. 22 (1984) 570-598.
    • (1984) SIAM J. Control Optim. , vol.22 , pp. 570-598
    • Balder, E.J.1
  • 5
    • 0011551330 scopus 로고
    • Fatou's lemma in infinite dimensions
    • E. J. Balder: Fatou's lemma in infinite dimensions, J. Math. Anal. Appl. 136 (1988) 450-465.
    • (1988) J. Math. Anal. Appl. , vol.136 , pp. 450-465
    • Balder, E.J.1
  • 7
    • 0025494890 scopus 로고
    • New sequential compactness results for spaces of scalarly integrable functions
    • E. J. Balder: New sequential compactness results for spaces of scalarly integrable functions, J. Math. Anal. Appl. 151 (1990) 1-16.
    • (1990) J. Math. Anal. Appl. , vol.151 , pp. 1-16
    • Balder, E.J.1
  • 8
    • 32044473091 scopus 로고
    • A unified approach to several results involving integrals of multifunctions
    • E. J. Balder: A unified approach to several results involving integrals of multifunctions, Set Valued Anal. 2 (1994) 63-75.
    • (1994) Set Valued Anal. , vol.2 , pp. 63-75
    • Balder, E.J.1
  • 9
    • 85045524321 scopus 로고    scopus 로고
    • Lectures on Young measure theory and its applications in economics
    • E. J. Balder: Lectures on Young measure theory and its applications in economics, Rend. Ist. Mat. Trieste 31, suppl. 1 (2000) 1-69, available at: http://www.dmi.units.it/~rimut/volumi/31_suppl/balder.ps.gz
    • (2000) Rend. Ist. Mat. Trieste , vol.31 , Issue.1 SUPPL. , pp. 1-69
    • Balder, E.J.1
  • 10
    • 0035435191 scopus 로고    scopus 로고
    • On ws-convergence of product measures
    • E. J. Balder: On ws-convergence of product measures, Math. Oper. Res. 26 (2001) 494-518.
    • (2001) Math. Oper. Res. , vol.26 , pp. 494-518
    • Balder, E.J.1
  • 11
    • 0141677912 scopus 로고    scopus 로고
    • A Fatou lemma for Gelfand integrals by means of Young measure theory
    • E. J. Balder: A Fatou lemma for Gelfand integrals by means of Young measure theory, Positivity 6 (2002) 317-329.
    • (2002) Positivity , vol.6 , pp. 317-329
    • Balder, E.J.1
  • 12
    • 0037788874 scopus 로고
    • Fatou's lemma for multifunctions with unbounded values
    • E. J. Balder, C. Hess: Fatou's lemma for multifunctions with unbounded values, Math. Oper. Res. 20 (1995) 175-188.
    • (1995) Math. Oper. Res. , vol.20 , pp. 175-188
    • Balder, E.J.1    Hess, C.2
  • 13
    • 0345254829 scopus 로고    scopus 로고
    • Two generalizations of Komlós theorem with lower closure-type applications
    • E. J. Balder, C. Hess: Two generalizations of Komlós theorem with lower closure-type applications, J. Convex Anal. 3 (1996) 25-44.
    • (1996) J. Convex Anal. , vol.3 , pp. 25-44
    • Balder, E.J.1    Hess, C.2
  • 15
    • 0003211244 scopus 로고
    • Convex Analysis and Measurable Multifunctions
    • Springer, Heidelberg
    • C. Castaing, M. Valadier: Convex Analysis and Measurable Multifunctions, Lecture Notes in Math. 580, Springer, Heidelberg (1977).
    • (1977) Lecture Notes in Math. , vol.580
    • Castaing, C.1    Valadier, M.2
  • 16
    • 0141696977 scopus 로고    scopus 로고
    • Existence of general equilibrium for spatial economies
    • to appear
    • B. Cornet, J. P. Médécin: Existence of general equilibrium for spatial economies, Econom. Th., to appear.
    • Econom. Th.
    • Cornet, B.1    Médécin, J.P.2
  • 17
    • 0141789878 scopus 로고    scopus 로고
    • Fatou's lemma for gelfand integrable mappings
    • B. Cornet. J. P. Médécin: Fatou's Lemma for Gelfand integrable mappings, Positivity 6 (2002) 297-315.
    • (2002) Positivity , vol.6 , pp. 297-315
    • Cornet, B.1    Médécin, J.P.2
  • 21
    • 0010758243 scopus 로고
    • Measurability and integrability of the weak upper limit of a sequence of multifunction
    • C. Hess: Measurability and integrability of the weak upper limit of a sequence of multifunction, J. Math. Anal. Appl. 153 (1990) 226-249.
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 226-249
    • Hess, C.1
  • 22
    • 0010680939 scopus 로고
    • Convergence of conditional expectations for unbounded random sets, integrands, and integral functionals
    • C. Hess: Convergence of conditional expectations for unbounded random sets, integrands, and integral functionals, Math. Oper. Res. 16 (1991) 627-649.
    • (1991) Math. Oper. Res. , vol.16 , pp. 627-649
    • Hess, C.1
  • 23
    • 84967763053 scopus 로고
    • Convergence of conditional expectations and strong laws of large numbers for multivalued random variables
    • F. Hiai: Convergence of conditional expectations and strong laws of large numbers for multivalued random variables, Trans. Amer. Math. Soc. 291 (1985) 613-627.
    • (1985) Trans. Amer. Math. Soc. , vol.291 , pp. 613-627
    • Hiai, F.1
  • 25
    • 0001852715 scopus 로고
    • Measurable relations
    • C. J. Himmelberg: Measurable relations, Fund. Math. 87 (1975) 53-72.
    • (1975) Fund. Math. , vol.87 , pp. 53-72
    • Himmelberg, C.J.1
  • 26
    • 0011557689 scopus 로고
    • 1 (μ, X) and an approximate version of Fatou's lemma
    • 1 (μ, X) and an approximate version of Fatou's lemma, J. Math. Anal. Appl. 114 (1984) 569-573.
    • (1984) J. Math. Anal. Appl. , vol.114 , pp. 569-573
    • Khan, M.A.1    Majumdar, M.2
  • 28
    • 32044466273 scopus 로고    scopus 로고
    • V. F. Martins da Rocha: Personal communication to the first author
    • V. F. Martins da Rocha: Personal communication to the first author.
  • 29
    • 0003947859 scopus 로고
    • Mathematical foundations of the calculus of probability
    • San Francisco
    • J. Neveu: Mathematical Foundations of the Calculus of Probability, Holden-Day, San Francisco (1965).
    • (1965) Holden-Day
    • Neveu, J.1
  • 30
    • 33646851894 scopus 로고
    • On n-dimensional extensions of Fatou's lemma in several dimensions
    • C. Olech: On n-dimensional extensions of Fatou's lemma in several dimensions, Z. Angew. Math. Phys. 38 (1987) 266-272.
    • (1987) Z. Angew. Math. Phys. , vol.38 , pp. 266-272
    • Olech, C.1
  • 31
    • 0011620372 scopus 로고
    • A representation theorem for Aumann integrals
    • P. Pucci, G. Vitillaro: A representation theorem for Aumann integrals, J. Math. Anal. Appl. 102 (1984) 86-101.
    • (1984) J. Math. Anal. Appl. , vol.102 , pp. 86-101
    • Pucci, P.1    Vitillaro, G.2
  • 32
    • 84968495011 scopus 로고
    • Fatou's lemma in several dimensions
    • D. Schmeidler: Fatou's lemma in several dimensions, Proc. Amer. Math. Soc. 24 (1970) 300-306.
    • (1970) Proc. Amer. Math. Soc. , vol.24 , pp. 300-306
    • Schmeidler, D.1
  • 33
    • 84966201474 scopus 로고
    • Fatou's lemma in infinite-dimensional spaces
    • N. C. Yannelis: Fatou's lemma in infinite-dimensional spaces, Proc. Amer. Math. Soc. 102 (1988) 303-310.
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 303-310
    • Yannelis, N.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.