5 citations · 16 across the 11 of their papers we have counts for
4 papers · 1 filter
A martingale approach to noncommutative stochastic calculus
David A. Jekel, Todd A. Kemp, Evangelos A. Nikitopoulos
We present a new approach to noncommutative stochastic calculus that is, like the classical theory, based primarily on the martingale property. Using this approach, we introduce a…
Higher derivatives of operator functions in ideals of von Neumann algebras
Evangelos A. Nikitopoulos
Let be a von Neumann algebra and be a self-adjoint operator affiliated with . We define the notion of an "integral symmetrically normed ideal" of $\m…
Multiple operator integrals in non-separable von Neumann algebras
Evangelos A. Nikitopoulos
A multiple operator integral (MOI) is an indispensable tool in several branches of noncommutative analysis. However, there are substantial technical issues with the existing litera…
Itô's formula for noncommutative functions of free Itô processes
Evangelos A. Nikitopoulos
In a recent paper, the author introduced a rich class of "noncommutative " functions whose operator functional calculus is -t…