Γ-unitaries, Dilation and a Natural Example

  • H. SAU
This note constructs an explicit normal boundary dilation for a commuting pair (S, P) of bounded operators with the symmetrized bidisk Γ = {(z 1 + z 2 , z 1 z 2) : |z 1 |, |z 2 | ≤ 1} as a spectral set. Such explicit dilations had hitherto been constructed only in the unit disk [11], the unit bidisk [3] and in the tetrablock [6]. The dilation is minimal and… CONTINUE READING