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Villanueva, Ignacio ; Peralta Pereira, Antonio Miguel ; Wright, J. D. Maitland ; Ylinen, Kari | Cambridge University Press | 2010-05We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk ? X with an X-valued Aron–Berner extension.texto impreso
Peralta Pereira, Antonio Miguel ; Villanueva, Ignacio ; Wright, J. D. Maitland ; Ylinen, Kari | Elsevier | 2007-01-15Let 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” topol[...]texto impreso
Villanueva, Ignacio ; Peralta Pereira, Antonio Miguel ; Wright, J. D. Maitland ; Ylinen, Kari | Cambridge University Press | 2010The strong* topology s_(X) of a Banach space X is defined as the locally convex topology generated by the seminorms x 7! kSxk for bounded linear maps S from X into Hilbert spaces. The w-right topology for X, _(X), is a stronger locally convex to[...]
