Pairs of Commuting Isometries - I


We present a sharper version of Berger, Coburn and Lebow’s classification result for pure pairs of commuting isometries in the sense of an explicit recipe for constructing pairs of commuting isometric multipliers with precise coefficients. One of our main results states that: Let (V1, V2) be a pair of commuting isometries on a Hilbert space H, and let V… (More)


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