Fundamentally, the "big picture" of linear algebra is that of linear transformations. The application of it to solving systems of equations is a convenient introductory point.

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 ...

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 ...

The main purpose of this article is to give a relationship between Fredholm multivalued linear operators and the demicompact linear relation; we provide some sufficient conditions on the inputs of a ...

Jan Prüss, On Resolvent Operators for Linear Integrodifferential Equations of Volterra Type, Journal of Integral Equations, Vol. 5, No. 3 (JULY 1983), pp. 211-236 ...