This is an introductory course in Operator Theory and its applications.
We will start with a short review of Banach and Hilbert Spaces and their linear bounded operators, then we turn to the Spectral Theory of linear bounded operators.
Classes of Hilbert Space operators that appear frequently in applications, e.g. self adjoint, positive operators, are considered in detail.
The course is aimed at Mathematics students who want to pursue a career in Analysis and its applications, but Math students from other domains and also graduate engineering students who want to understand mathematical foundations of many of the subjects considered in Engineering Mathematics are welcome as well.
The course is aimed at Mathematics students who want to pursue a career in Analysis and its applications, but Math students from other domains and also graduate engineering students who want to understand mathematical foundations of many of the subjects considered in Engineering Mathematics are welcome as well.