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 ...

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 ...

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.

RandONets - MATLAB Code (J. Comp. Phys). RandONets (Random projection-based Operator Networks) is a MATLAB implementation designed for learning efficiently linear and nonlinear operators using ...

, L. Longhi, M. Perlstadt, Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples, SIAM Journal on Applied Mathematics ...