Piotr DYMEK: ,,Quasinormal extensions of subnormal operator-weighted composition
operators in $\ell^2$-spaces''.


ABSTRACT: We prove the subnormality of an operator-weighted composition operator
whose symbol is a transformation of a discrete measure space and weights
are multiplication operators in $L^2$-spaces under the assumption of
existence of a family of probability measures whose Radon-Nikodym
derivatives behave regular along the trajectories of the symbol. We build
the quasinormal extension which is a weighted composition operator induced
by the same symbol.
The talk is based on a joint work with P. Budzynski and A. Planeta.