Bounded Reflexivity of Operator Subspaces II

Abstract

Several classes of operators are shown to be boundedly reflexive; including bilateral operator-weighted shifts, weak contractions, and operators of class (SM). The commutants of many of these operators are shown to be boundedly reflexive. We also show that symmetric pattern subspaces with constant main diagonals are boundedly reflexive, and we provide some necessary and sufficient conditions for \( ref_{b} ({\user1{\mathcal{S}}}) \) to be boundedly reflexive.