Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...

In this paper we give characterizations of essential left ideals of a C*-algebra A in terms of their properties as operator A-modules. Conversely, we seek C*-algebraic characterizations of those ...

An operator algebra is an algebra of continuous linear operators on a Hilbert space. Such algebras can be associated to a variety of problems in mathematics and mathematical physics. The study of ...