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 ...

In this note we characterize all the linear operators on the linear space of n × n complex matrices which preserve the numerical radius and all the linear operators on the real linear space of n × n ...

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 ...

Abstract: A concept is presented in terms of a linear operator which is concerned with the model space. The linear operator is presented initially as a "nonsense operator," which is later applied to ...

Abstract: In this article, we provide a data-driven framework for optimal control of a continuous-time control-affine stochastic dynamical system. The proposed framework relies on the linear operator ...