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Watch a mathematics lecture from the ESI's Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" exploring operator ideals in Hilbert spaces and their applications to infinite-dimensional geometric structures. Delve into advanced mathematical concepts including Banach-Lie groups associated with operator ideals and their homogeneous spaces, examining problems relevant to both operator theory and infinite-dimensional geometry. Learn about the diagonalization by unitary operators associated with operator ideals, study the geometric aspects of Moore-Penrose inverse and polar decomposition of perturbations by operator ideals, and explore abstract frame theory in Hilbert spaces as it relates to operator ideals.
