Operator algebras and functional analysis form a foundational framework in modern mathematics, interlinking abstract algebraic structures with analytic techniques to study infinite‐dimensional spaces.

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 ...

We study and compare the gap and the Riesz topologies of the space of all unbounded regular operators on Hilbert C*-modules. We show that the space of all bounded adjointable operators on Hilbert ...

We study the complexity of the problem to describe, up to unitary equivalence, representations of *-algebras by unbounded operators on a Hilbert space. A number of examples are developed in detail.

Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...