\(m\)-isometric weighted shifts and reflexivity of some operators
In this paper, the authors characterize all \(m\)-isometric unilateral weighted shift operators that are not \(m-1\)-isometrics in terms of their weight sequences. Also, they discuss the reflexivity of a contraction whose spectrum is the closed unit disc and the reflexivity of non-negative integer powers of hyponormal \(m\)-isometries.
scientific article; zbMATH DE number 6170754
scientific article