The invariant subspace problem

DOI10.1007/BF03022994zbMath0496.47008WikidataQ56391007 ScholiaQ56391007MaRDI QIDQ5905264

Peter Rosenthal, Heydar Radjavi

Publication date: 1982

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceinvariant subspace problembounded linear operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (2)

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Cites Work

• Some invariant subspaces for subnormal operators
• Sufficiently high powers of hyponormal operators have rationally invariant subspaces
• Ten years in Hilbert space
• An operator not satisfying Lomonosov's hypothesis
• Intertwined operators and the Pincus principal function
• Rank-one commutators and hyperinvariant subspaces
• Sufficient conditions for rank-one commutators and hyperinvariant subspaces
• Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos
• Invariant subspaces of polynomially compact operators
• Invariant subspaces of some non-selfadjoint operators
• The invariant subspaces of the continuous endomorphisms on \(\omega\)
• A density theorem for operator algebras
• A counterexample to the approximation problem in Banach spaces
• The existence of invariant subspaces
• Invariant subspaces of completely continuous operators
• On the spectral resolution of linear non-selfadjoint operators
• The multiplicative structure of 𝐽-contractive matrix functions
• Subdiagonalization of operators in Hilbert space with compact imaginary part
• Some Recent Results on Invariant Subspaces
• A Geometric Equivalent of the Invariant Subspace Problem
• A functional calculus for subnormal operators. II
• An invariant subspace theorem
• Shorter Notes: An Invariant Subspace Theorem
• Invariant Subspaces for Bishop's Operators
• Weak-star density of polynomials.
• The Approximation Problem for Banach Spaces
• On the Orthogonalization of Operator Representations
• A note on invariant subspaces
• A note on invariant subspaces
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