On linear operators with p-nuclear adjoints

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dc.creatorReinov, Oleg I.
dc.date2001-07-16
dc.date.accessioned2026-07-07T04:42:37Z
dc.date.available2026-07-07T04:42:37Z
dc.descriptionIf $p\in [1,+\infty]$ and $T$ is a linear operator with $p$-nuclear adjoint from a Banach space $ X$ to a Banach space $Y$ then if one of the spaces $X^*$ or $Y^{***}$ has the approximation property, then $T$ belongs to the ideal $N^p$ of operators which can be factored through diagonal oparators $l_{p'}\to l_1.$ On the other hand, there is a Banach space $W$ such that $W^{**}$ has a basis and such that for each $p\in [1,+\infty], p\neq 2,$ there exists an operator $T: W^{**}\to W$ with $p$-nuclear adjoint that is not in the ideal $N^p,$ as an operator from $W^{**}$ to $ W.$
dc.description6 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/math/0107113
dc.identifierhttp://arxiv.org/abs/math/0107113
dc.identifierVestnik SPb GU, ser. Matematika, 4 (2000), 24-27 (in Russia)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61858
dc.subjectFunctional Analysis
dc.titleOn linear operators with p-nuclear adjoints
dc.typetext

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