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Advanced Real Analysis II

  • 7.5 credits

The course covers signed measure, Hahn decomposition, measures on metric spaces, Radon-Nikodym theorem, Lebesgue decomposition, dual spaces, weak topologies, Banach-Alaoglu theorem, adjoint operators, compact operators and their spectrum, Fredholm alternative, Hilbert spaces and operators on Hilbert spaces, spectral theory of self-adjoint operators in Hilbert space, Fredholm determinant, unlimited operators.

Further course information will appear soon on this page. Until then, information can be found on the department website.