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Lecturer 이우영
Dept. 서울대학교
date Jun 03, 2021

 

The invariant subspace problem is one of the longstanding open problem in the field of functional analysis and operator theory. It is due to J. von Neumann (in 1932) and is stated as: Does every operator have a nontrivial invariant subspace? An invariant subspace for an operator means a subspace such that the image of the subspace under the operator returns to the subspace. This problem remains still open for infinite-dimensional separable Hilbert spaces. In this talk we consider the reason why so much attention to the invariant subspace problem and discuss the invariant subspaces of the shifts. In the context of this problem, we come across G.H. Hardy and A. Beurling.

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List of Articles
Category Subject Dept. Lecturer
Math Colloquia Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
Math Colloquia Entropy of symplectic automorphisms file 서강대학교 김준태
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
Math Colloquia Diophantine equations and moduli spaces with nonlinear symmetry file 서울대학교 황준호
Math Colloquia Descent in derived algebraic geometry file 서강대학교 조창연
Math Colloquia Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Counting number fields and its applications file UNIST 조재현
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia Contact Homology and Constructions of Contact Manifolds file 서울대 Otto van Koert
Math Colloquia Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
Math Colloquia Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia Conformal field theory and noncommutative geometry file 동경대학교 Kawahigashi
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