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 ...

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 ...

Given two normal operators A and B on a Hilbert space it is known that, in general, AB is not normal. The question on characterizing those pairs of normal operators for which their products are normal ...

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, ...

In the context of quantum physics, the term "duality" refers to transformations that link apparently distinct physical theories, often unveiling hidden symmetries. Some recent studies have been aimed ...