Diagonal nuclear operators
Differentiability of Musielak-Orlicz sequence spaces
Distinguished subspaces of of maximal dimension
Dunford-Pettis-like properties of projective and natural tensor product spaces.
Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.