%0 Journal Article
%T Approximation properties $AP_s$ and p-nuclear operators (the case where $0<s\le 1$)
%A Oleg I. Reinov
%J Mathematics
%D 2001
%I arXiv
%X Among other things, it is shown that there exist Banach spaces $Z$ and $W$ such that $Z^{**}$ and $W$ have bases, and for every $p\in[1,2)$ there is an operator $T:W\to Z$ that is not $p$-nuclear but $T^{**}$ is $p$-nuclear.
%U http://arxiv.org/abs/math/0107124v2