Operatoriateoria
Operatoriateoria, also known as operator theory, is a branch of mathematics that studies operators, which are functions between vector spaces, typically infinite-dimensional Hilbert spaces. These operators can be linear or non-linear, bounded or unbounded. The focus is often on linear bounded operators, as they possess a well-developed structure and have wide applications.
The central objects of study in operator theory include the spectral properties of operators, such as eigenvalues
Operator theory has deep connections with various fields of mathematics, including functional analysis, quantum mechanics, differential
Research in operator theory continues to explore new classes of operators, develop advanced spectral theory, and