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

dc.creatorReinov, Oleg I.
dc.date2001-07-17
dc.date2001-07-20
dc.date.accessioned2026-07-07T04:42:38Z
dc.date.available2026-07-07T04:42:38Z
dc.descriptionAmong 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.
dc.description15 pages, AMSTeX; misprint in Theorem 5, (v): now (W,X) is replaced by (W,Z)
dc.identifierhttps://arxiv.org/abs/math/0107124
dc.identifierhttp://arxiv.org/abs/math/0107124
dc.identifierZapiski nauchn. sem. POMI, 270 (2000), 277-291 (in Russian)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61866
dc.subjectFunctional Analysis
dc.titleApproximation properties $AP_s$ and p-nuclear operators (the case where $0<s\le 1$)
dc.typetext

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