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강연자 이우영
소속 서울대학교
date 2021-06-03

 

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
카테고리 제목 소속 강연자
수학강연회 Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
수학강연회 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
수학강연회 Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
수학강연회 Mirror symmetry of pairings file 숭실대학교 이상욱
수학강연회 <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
수학강연회 An introduction to hyperplane arrangements file 서울대 이승진
수학강연회 Creation of concepts for prediction models and quantitative trading file Haafor 이승환
수학강연회 On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
수학강연회 Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
수학강연회 <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces file 서울대학교 이우영
수학강연회 Survey on a geography of model theory file 창원대학교 이정욱
수학강연회 Averaging formula for Nielsen numbers file 서강대학교 이종범
수학강연회 The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
수학강연회 Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
수학강연회 Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
수학강연회 Alice and Bob meet Banach and von Neumann file 서울대 이훈희
수학강연회 Cloaking via Change of Variables file KAIST 임미경
수학강연회 Volume entropy of hyperbolic buildings file 서울대 임선희
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