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math.OA2005
Characteristic Functions for Ergodic Tuples
Santanu Dey, Rolf Gohm
Motivated by a result on weak Markov dilations, we define a notion of characteristic function for ergodic and coisometric row contractions with a one-dimensional invariant subspace…
math.OA2003
Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules
Rolf Gohm, Michael Skeide
We apply Hilbert module methods to show that normal completely positive maps admit weak tensor dilations. Appealing to a duality between weak tensor dilations and extensions of CP-…