The study of Hilbert and Hankel operators on analytic function spaces has emerged as a vibrant research field, uniting aspects of harmonic analysis, operator theory and complex analysis. These ...
Research in Hilbert space operators and Berezin numbers constitutes a fertile arena in modern mathematical analysis, bridging abstract operator theory with practical applications in spectral theory ...
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 ...
In this paper, a sufficient condition for the existence of hyperinvariant subspace of compact perturbations of multiplication operators on some Banach spaces is presented. An interpretation of this ...