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 ...

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 ...

Journal of Operator Theory, Vol. 47, No. 1 (Winter 2002), pp. 131-143 (13 pages) On a separable infinite dimensional complex Hilbert space, we show that the set of hypercyclic operators is dense in ...

Let E be an arbitrary set and F(E) a linear space composed of all complex valued functions on E. Let H be a (possibly finite-dimensional) Hilbert space with inner product (,)H. Let h: E → H be a ...