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  • Mathematics  (4)
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  • Mathematics  (4)
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  • 1
    Online Resource
    Online Resource
    The range of a multimeasure
    Cambridge University Press (CUP) ; 1978
    In:  Journal of the Australian Mathematical Society Vol. 26, No. 4 ( 1978-12), p. 442-452
    Details
    In: Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 26, No. 4 ( 1978-12), p. 442-452
    Abstract: In this paper, the author generalizes the concept of thinness introduced by Kingman and Robertson (1968) to study the convexity of the range of a multimeasure. It is proved that every thin multimeasure taking values in a Fréchet space has convex range, and that, for a suitable measureable space, if a multimeasure is non-atomic, then the weak closure of its range is convex.
    Type of Medium: Online Resource
    ISSN: 1446-7887 , 1446-8107
    URL: Article
    DOI: 10.1017/S1446788700011964
    RVK:
    SA 3155
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1978
    detail.hit.zdb_id: 1478743-X
    SSG: 17,1
    Location Call Number Limitation Availability
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    Online Resource
  • 2
    Online Resource
    Online Resource
    Omega-Polish spaces and measurable selections
    Cambridge University Press (CUP) ; 1977
    In:  Journal of the Australian Mathematical Society Vol. 23, No. 3 ( 1977-05), p. 257-265
    Details
    In: Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 23, No. 3 ( 1977-05), p. 257-265
    Abstract: In this paper, the author introduces the notion of Ω-Polish spaces (which includes the Polish spaces and a large class of Banach spaces) and extends Castaing's selection theorem (1966) for closed-valued measurable thin multifunctions from a measurable space into an Ω-Polish space. He also extends Robertson's theorem (1974) in the same way.
    Type of Medium: Online Resource
    ISSN: 1446-7887 , 1446-8107
    URL: Article
    DOI: 10.1017/S1446788700018887
    RVK:
    SA 3155
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1977
    detail.hit.zdb_id: 1478743-X
    SSG: 17,1
    Location Call Number Limitation Availability
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    Online Resource
  • 3
    Online Resource
    Online Resource
    The Radon-Nikodym Theorem for Multimeasures
    Cambridge University Press (CUP) ; 1978
    In:  Proceedings of the Edinburgh Mathematical Society Vol. 21, No. 2 ( 1978-09), p. 167-173
    Details
    In: Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), Vol. 21, No. 2 ( 1978-09), p. 167-173
    Abstract: Let ( S , ℳ) be a measurable space (that is, a set S in which is defined a σ-algebra ℳ of subsets) and X a locally convex space. A map M from ℳ to the family of all non-empty subsets of X is called a multimeasure iff for every sequence of disjoint sets A n ɛ ℳ (n=1,2,… )with the series converges (in the sense of (6), p. 3) to M ( A ).
    Type of Medium: Online Resource
    ISSN: 0013-0915 , 1464-3839
    URL: Article
    DOI: 10.1017/S0013091500016138
    RVK:
    SA 4701
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1978
    detail.hit.zdb_id: 1465484-2
    SSG: 17,1
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  • 4
    Online Resource
    Online Resource
    On multifunctions and multimeasures
    Cambridge University Press (CUP) ; 1978
    In:  Bulletin of the Australian Mathematical Society Vol. 18, No. 1 ( 1978-02), p. 145-146
    Details
    In: Bulletin of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 18, No. 1 ( 1978-02), p. 145-146
    Type of Medium: Online Resource
    ISSN: 0004-9727 , 1755-1633
    URL: Article
    DOI: 10.1017/S0004972700007899
    RVK:
    SA 3150
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1978
    detail.hit.zdb_id: 2268688-5
    SSG: 17,1
    Location Call Number Limitation Availability
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