Remarks on the existence of unconditional bases for weighted countably-Hilbert spaces and their complemented subspaces (Q2773639)

The author gives versions of a criterion for existence of unconditional bases for countably-Hilbert spaces. As applications he obtains theorems on existence of unconditional bases for certain classes of countably-Hilbert function spaces and for their complemented subspaces under additional constraints on the space and the corresponding projections to the complemented subspaces. These classes include generalizations of power series spaces of finite type and Köthe spaces determined by Dragilev-type functions.