Operator Algebra

Operator algebra is a branch of mathematics focused on the study of operators—rules or functions that act on objects like functions or vectors—to understand their structures and relationships. These operators can be added, multiplied, or combined to analyze complex systems, especially in quantum physics and functional analysis. Essentially, operator algebra provides a framework for modeling and manipulating mathematical entities that describe transformations, dynamics, and interactions in advanced mathematical and physical contexts, allowing researchers to explore properties like symmetries and invariants in a rigorous way.