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M-Ideals of Schreier Type and the Dunford-Pettis Property

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Non-Associative Algebra and Its Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 303))

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Abstract

Given a compact subspace F of {0,11}N, i.e., a family of subsets of positive integers that is compact under the topology of pointwise convergence, the M-ideal generated by F is studied. Moreover, we prove that for those M-ideals, the Dunford-Pettis and the hereditary Dunford-Pettis properties are equivalent.

Supported in part by DGICYT Grant PB91-0307 (Spain)

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© 1994 Springer Science+Business Media Dordrecht

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Castillo, J.M.F., Sánchez, F., González, M. (1994). M-Ideals of Schreier Type and the Dunford-Pettis Property. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_13

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4429-5

  • Online ISBN: 978-94-011-0990-1

  • eBook Packages: Springer Book Archive

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