The author gives several definitions, including the definition of linear vector spaces, inner products, and Hilbert spaces. He defines linear operators and the Hilbert adjoint operator, and gives ...

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 ...

A Linear Operator Library for Python PyLops is an open-source Python library focused on providing a backend-agnostic, idiomatic, matrix-free library of linear operators and related computations. It is ...

In this paper we introduce the regularization method solving Equation (1) with A being a linear, closed, densely defined unbounded operator. At the same time, an application is given to the weak ...

Linear operators $T$ for which $T^\ast T$ and $TT^\ast$ commute are studied. Examples are given to show that this class of operators is distinct from several other operator classes.

We exploit the key idea that nonlinear system identification is equivalent to linear identification of the so-called Koopman operator. Instead of considering nonlinear system identification in the ...