Rational functions play an important role in linear system theory, and in the noncommutative case we mention in particular the works [225, 264, 265]. We also mention , which is set in the framework of noncommutative probability. There the approach uses a topological algebra of a very special structure (dual of a countably normed nuclear space, with a series of inequalities on the norms), and is also quite far from the quaternionic setting.
|Title of host publication||Operator Theory|
|Subtitle of host publication||Advances and Applications|
|Publisher||Springer International Publishing|
|Number of pages||24|
|State||Published - 1 Jan 2016|
|Name||Operator Theory: Advances and Applications|