Peralta Pereira, Antonio MiguelVillanueva Díez, IgnacioWright, J. D. MaitlandYlinen, Kari2023-06-202023-06-202007-01-15Peralta Pereira, A. M., Villanueva Díez, I., Wright, J. D. M. & Ylinen, K. «Topological Characterisation of Weakly Compact Operators». Journal of Mathematical Analysis and Applications, vol. 325, n.o 2, enero de 2007, pp. 968-74. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2006.02.066.0022-247X10.1016/j.jmaa.2006.02.066https://hdl.handle.net/20.500.14352/49796Let X be a Banach space. Then there is a locally convex topology for X, the “Right topology,” such that a linear map T, from X into a Banach space Y, is weakly compact, precisely when T is a continuous map from X, equipped with the “Right” topology, into Y equipped with the norm topology. When T is only sequentially continuous with respect to the Right topology, it is said to be pseudo weakly compact. This notion is related to Pelczynski's Property (V).engjournal articlehttps//doi.org/10.1016/j.jmaa.2006.02.066http://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/open access515.1Weakly compact operatorsRight topologyMackey topologyTopología1210 Topología