  We systematically study various aspects of operator-valued multishifts.
Beginning with basic properties, we show that the class of multishifts on the
directed Cartesian product of rooted directed trees is contained in that of
operator-valued multishifts. Further, we establish circularity, analyticity and
wandering subspace property of these multishifts. In the rest part of the
paper, we study the function theoretic behaviour of operator-valued
multishifts. We determine the bounded point evaluation, reproducing kernel
structure and the unitary equivalence of operator-valued multishifts with
invertible operator weights. In contrast with a result of Lubin, it appears
that the set of all bounded point evaluations of an operator-valued multishift
may be properly contained in the joint point spectrum of the adjoint of
underlying multishift.
