论文信息 - A conjecture on convolution operators, and a non-Dunford-Pettis operator onL1

A conjecture on convolution operators, and a non-Dunford-Pettis operator onL1

There exists a non-Dunford-Pettis operator fromL1 into a Banach latticeE that does not contain a copy ofc0 orL1. This problem is related to regularisation properties of convolution operators onL1.

M. Talagrand

[1] Joram Lindenstrauss,et al. Classical Banach spaces , 1973 .

[2] W. Beckner. Inequalities in Fourier analysis , 1975 .

[3] EmbeddingL1 in a Banach lattice , 1979 .