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A conjecture on convolution operators, and a non-Dunford-Pettis operator onL 1

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Abstract

There exists a non-Dunford-Pettis operator fromL 1 into a Banach latticeE that does not contain a copy ofc 0 orL 1. This problem is related to regularisation properties of convolution operators onL 1.

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References

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Authors and Affiliations

  1. Equipe d’Analyse — Tour 46, Unité Associée au C.N.R.S., no 754, Université Paris VI, 4 Place Jussieu, 75230, Paris Cedex 05, France

    Michel Talagrand

  2. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, USA

    Michel Talagrand

Authors
  1. Michel Talagrand
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Work partially supported by an N.S.F. Grant.

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Talagrand, M. A conjecture on convolution operators, and a non-Dunford-Pettis operator onL 1 . Israel J. Math. 68, 82–88 (1989). https://doi.org/10.1007/BF02764970

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  • DOI: https://doi.org/10.1007/BF02764970

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