A conjecture on convolution operators,and a non-Dunford-Pettis operator onL 1 |
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| Authors: | Michel Talagrand |
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| Affiliation: | (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;(2) Department of Mathematics, The Ohio State University, 43210 Columbus, OH, USA |
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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. Work partially supported by an N.S.F. Grant. |
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