Approximation properties $AP_s$ and p-nuclear operators (the case where $0<s\le 1$)

Details Approximation properties $AP_s$ and p-nuclear operators (the case where $0<s\le 1$) Approximation properties $AP_s$ and p-nuclear operators (the case where $0<s\le 1$)

2001-07-17

arxiv.org/abs/math/0107124v2

Zapiski nauchn. sem. POMI, 270 (2000), 277-291 (in Russian)

Mathematics

Functional Analysis

15 pages, AMSTeX; misprint in Theorem 5, (v): now (W,X) is replaced by (W,Z)

Scientific paper

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.

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