pseudoreflexive adjective2 •Of a verb: requiring the use of a reflexive construction when no reflexive action is actually taking place. •Inducing a topological isomorphism between the domain and its image.In the next two theorems we will assume E pseudoreflexive. This is not a big restriction since every Banach space over a spherically complete nonarchimedean field is pseudoreflexive. — 2001