%0 Journal Article
%A Peralta Pereira, Antonio Miguel
%A Villanueva Díez, Ignacio
%A Wright, J. D. Maitland
%A Ylinen, Kari
%T Topological characterisation of weakly compact operators
%D 2007
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/49796
%X 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).
%~