A note on operator tuples which are (m,p)-isometric as well as (μ,∞)-isometric
A note on operator tuples which are (m,p)-isometric as well as (μ,∞)-isometric
We show that if a tuple of commuting, bounded linear operators (T 1 ,... ,T d ) ∈ B(X) d is both an (m, p) -isometry and a (μ,∞) -isometry, then the tuple (T m 1 ,... ,T m d ) is a (1, p)isometry.We further prove some additional properties …