Positivity (2017) 21:513–515 DOI 10.1007/s11117-017-0473-1 Positivity ERRATUM Erratum to: Strong extensions for q -summing operators acting in p-convex Banach function spaces for 1 ≤ p ≤ q Weak* compactness of the closed unit ball of a Köthe dual space 1 2 O. Delgado · E. A. Sánchez Pérez Received: 20 August 2015 / Accepted: 18 January 2016 / Published online: 6 February 2017 © Springer International Publishing 2017 Erratum to: Positivity (2016) 20:999–1014 DOI 10.1007/s11117-016-0397-1 Abstract Let X be a saturated Banach function space and denote by X its Köthe dual. In the paper (Delgado and Sánchez Pérez in Positivity 20:999–1014, 2016) referenced in the title it is implicitly used that the closed unit ball B of X is compact for the topology σ(X , X ) on X deﬁned by the elements of X. This fact could be not true in general if X is not σ -order continuous. Keywords Banach function space · Köthe dual · Weak* compactness · σ -Order con- tinuity Mathematics Subject Classiﬁcation 46B50 · 46E30 · 46B42 O. Delgado gratefully acknowledge the support of the Ministerio de Economía y Competitividad (project #MTM2015-65888-C4-1-P) and the Junta de Andalucía (project FQM-7276), Spain. E. A.
Positivity – Springer Journals
Published: Feb 6, 2017
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