Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

The theory of quaternionic operators has applications in several different fields, such as quantum mechanics, fractional evolution problems, and quaternionic Schur analysis, just to name a few. The ...

Linear operators form the backbone of modern mathematical analysis and have become indispensable in characterising the behaviour of dynamical systems. At their core, these operators are functions that ...

Journal of Operator Theory, Vol. 48, No. 1 (Summer 2002), pp. 151-186 (36 pages) Motivated by recent developments in the theory of quantum groups, some classes of q-deformed operators (q-normal, ...

"Using our previous results, we demonstrated that the duality operators can be realized as unitary linear-depth quantum circuits when supplementing the Hilbert space with ancillary degrees of freedom ...