Anthony
W. Wickstead
Research Interests
My mathematical research is almost entirely concerned with vector lattices (also
known as Riesz spaces), Banach lattices and operators on them. In recent
years I have increasingly concentrated on the order structure of spaces
of linear operators between two Banach lattices and the relationship
between various spaces. Typical questions I have investigated are when
the space of regular operators (i.e. those which are the difference of
two positive operators) is a lattice or when it coincides with the space
of all bounded operators. A further strand concerns domination
properties which ask when a positive operator must inherit some
desirable property which is possessed by a positive operator which
dominates it.