Sourav Pal

Classification and dilation for q-commuting 2 × 2 scalar matrices

A tuple T _ = ( T 1 , … , T k ) of operators on a Hilbert space H is said to be q-commuting with ‖ q ‖ = 1 or simply q - commuting if there is a family of scalars q = { q i j ∈ C : | q i j | = 1 , q i j = q j i − 1 , 1 ≤ i < j ≤ k } such that T i T j = q i j T j T i for 1 ≤ i < j...