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    Unified approach to vector valued integration

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    13-IJFAOTA-00502-119.pdf (121.5Kb)
    Date
    2013-06
    Author
    Robdera, Mangatiana A.
    Publisher
    Pushpa Publishing House, www.pphmj.com
    Link
    http://www.pphmj.com/abstract/7873.htm
    Rights
    it is available under Creative Commons License
    Rights holder
    Pushpa Publishing House
    Type
    Published Article
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    Abstract
    We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of integral, and provide a continuous thread tying the subject matter together. As applications, we obtain extensions of the Lebesgue convergence theorems, the Dvoretsky-Rogers theorem, and the Orlicz-Pettis theorem.
    URI
    http://hdl.handle.net/10311/1336
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    • Research articles (Dept of Mathematics) [36]

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