The Complex Case: Towards Extending Haagerup’s Approach

This chapter could be viewed as the “complex version of Chap. 6 ”. Here, we unify the complex Grothendieck inequality and U. Haagerup’s approach in similar terms, however, now under the inclusion of certain complex bivariate Hermite polynomials (originally coined by K. Itô in 1953, when he investigated complex multiple Wiener integrals).