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Operator Algebras, fall 2008


Dr. Jani Virtanen


5 sp.


Advanced studies.


See the overview for a short description of the course. In summary, we plan to focus on the following topics:

  • C*-algebras of operators
  • Toeplitz algebras
  • invariant and reducing subspaces
  • applications

The course is suitable for those interested in analysis, mathematical physics, or applied mathematics, and provides many topics ideal for further research, e.g. for Master's thesis and beyond. This can be further discussed with the lecturer.

Should you have any questions or think of taking part in the course, please send me an e-mail!


Functional analysis, complex analysis, and linear algebra (or close equivalents; if in doubt discuss the requirements with the lecturer). For example, Sections 1.1-1.4 and 2.1-2.4 of my Operator Theory lecture notes are sufficient.


Periods I and II, Mondays 12:00-2:00 in Exactum B322. The first lecture Sept. 1, 2008.

Way of performing

A final exam at the end of the course.


Ronald G. Douglas, Banach algebra techniques in operator theory MR0361893 (50 #14335) MR1634900 (99c:47001)
Gerard J. Murphy, C*-algebras and operator theory MR1074574 (91m:46084)


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