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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 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK file Univ. of Rhode Island/서울대학교 국웅
수학강연회 Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
수학강연회 Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
수학강연회 Topology and number theory file Univ. College London/포항공대 김민형
수학강연회 Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Univ. Bremen Keivan Mallahi-Karai
수학강연회 <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
수학강연회 Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
수학강연회 Counting number fields and its applications file UNIST 조재현
수학강연회 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
수학강연회 <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world file UCLA Stanley Osher
수학강연회 On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
수학강연회 The Shape of Data file Stanford University Gunnar E. Carlsson
수학강연회 A-infinity functor and topological field theory file Simons Center for Geometry and Physics Kenji Fukaya
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
수학강연회 Partial differential equations with applications to biology file POSTECH 황형주
수학강연회 Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
수학강연회 Variational Methods without Nondegeneracy file POSTECH 변재형
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
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