Topic outline

  • General

    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