RT Journal Article
T1 Topological characterisation of weakly compact operators
A1 Peralta Pereira, Antonio Miguel
A1 Villanueva Díez, Ignacio
A1 Wright, J. D. Maitland
A1 Ylinen, Kari
AB Let 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).
PB Elsevier
SN 0022-247X
YR 2007
FD 2007-01-15
LK https://hdl.handle.net/20.500.14352/49796
UL https://hdl.handle.net/20.500.14352/49796
LA eng
NO Peralta 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.
NO I+D Madrid Ciencia y Tecnología
NO Junta de Andalucía
DS Docta Complutense
RD 8 jun 2025