👉 Procommutation is a mathematical concept in functional analysis and linear algebra, which refers to the commutativity of certain types of operators on finite-dimensional vector spaces. Specifically, it states that if A and B are two bounded linear operators on a finite-dimensional vector space V, then there exists a unique operator C such that AB = BA. This property is crucial for the definition of various concepts in functional analysis, including the spectral theorem, spectral theory of compact operators, and the representation theorems.
