Course Archives Theoretical Statistics and Mathematics Unit

Course: Operator Theory Level: Postgraduate Time: Currently not offered

Syllabus Past Exams Syllabus : 1. Compact operators on Hilbert Spaces: Fredholm Theory, Index. 2. C*- algebras - noncommutative states and representations, Gelfand-Neumark representation theorem. 3. Von-Neumann Algebras; Projections, Double Commutant theorem, L functional Calculus. 4. Toeplitz operators. Suggested Texts : 1. W. Arveson, An invitation to C*-algebras, GTM (39), Springer-Verlag (1976). 2. N. Dunford and J. T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, Interscience Publishers John Wiley (1963). 3. R. V. Kadison and J. R. Ringrose, Fundamentals of the theory of operator algebras. Vol.I. Elementary theory, Pure and Applied Mathematics (100), Academic Press (1983). 4. V. S. Sunder, An invitation to von Neumann algebras, Universitext, Springer- Verlag (1987). Top of the page Past Exams

Midterm 11.pdf 17.pdf 19.pdf Solution 11.pdf 11a.pdf 17.pdf Semestral 05.pdf 07.pdf 11.pdf 11a.pdf 17.pdf 19.pdf 21.pdf Supplementary and Back Paper 07.pdf 17.pdf 19.pdf Top of the page

[ Semester Schedule ][ SMU ] [Indian Statistical Institute]