NORM-CLOSED BIMODULES OF NEST ALGEBRAS
Kenneth R. Davidson, Allan P. Donsig, Timothy D. Hudson · 1998
We study the support and essential support functions of a norm- closed bimodule of a nest algebra. An allowable support function pair deter- mines a maximal bimodule. There is also a natural candidate for the minimal bimodule for a given support function pair. We determine precisely when this candidate is the minimal element. In the other cases, this module is still the intersection of all bimodules with a given support function pair, but it is not in this class itself.