Course co-ordinator(s): Dr Lyonell Boulton (Edinburgh).
Aims:
In this course we examine classical results about linear operators on Hilbert spaces. We begin by studying the concepts of projection and dimension on separable Hilbert spaces. We then study the notions of weak and strong topology on a Hilbert space. We then study the concept of compact operators which is fundamental in functional analysis. We then study the notions of weak, strong and norm topology in the algebra of bounded operators. We subsequently focus on the spectral theorem for compact selfadjoint operators. Then we study the solution of Fredholm and Volterra integral equations.
Detailed Information
Pre-requisites: Please see prerequisites under UG students Useful Links on the right hand side.
Location: Edinburgh.
Semester: 2.
Further information: Syllabus, Number of lectures, Assessment, Learning Outcomes.
SCQF Level: 11.
Credits: 15.