MS-E1461 - Hilbert Spaces D, Lecture, 6.9.2023-16.10.2023
This course space end date is set to 16.10.2023 Search Courses: MS-E1461
Topic outline
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Learning Outcomes: You will learn about norms and inner products in infinite-dimensional vector spaces. Related to these structures, you will understand basic properties of bounded linear operators and duality in Hilbert spaces, together with diagonalization of compact self-adjoint operators.
Content: Orthogonality, bounded linear operators, functionals, elementary spectral theory in Hilbert spaces (up to SVD = Singular Value Decomposition).
Assessment Methods and Criteria: Weekly exercises (1/3) and an exam (2/3). Alternatively, just exam (100%).October exam: TBA.Contact information: Ville Turunen (ville.turunen@aalto.fi), Anton Vavilov (anton.vavilov@aalto.fi), Zulip chat (invitation link)