A Solution to the Invariant Subspace Problem on the Space l 1
From MaRDI portal
Publication:3694097
DOI10.1112/blms/17.4.305zbMath0574.47006OpenAlexW1976138357WikidataQ56391045 ScholiaQ56391045MaRDI QIDQ3694097
Publication date: 1985
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/17.4.305
Sequence spaces (including Köthe sequence spaces) (46A45) Invariant subspaces of linear operators (47A15)
Related Items
Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators, Similarities and differences between real and complex Banach spaces: an overview and recent developments, An introduction to Rota's universal operators: properties, old and new examples and future issues, On quasi-affine transforms of Read’s operator, The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators, A new method for constructing invariant subspaces, The invariant subspace problem for non-Archimedean Köthe spaces, Bounded analytic functions in the Dirichlet space, Rota's universal operators and invariant subspaces in Hilbert spaces, Almost-invariant and essentially-invariant halfspaces, Unnamed Item, Unnamed Item, Invariant sublattices for positive operators, Every operator has almost-invariant subspaces, Some open problems and conjectures associated with the invariant subspace problem, A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces, On certain open problems in topological algebras, A history of solving some famous problems in mathematical analysis, Halmos problems and related results in the theory of invariant subspaces, Applications of fixed point theorems in the theory of invariant subspaces, A spectral quasinilpotent operator and the invariant subspace problem for non-Archimedean Banach spaces, Reducing subspaces for rank-one perturbations of normal operators, Topological radicals and Frattini theory of Banach Lie algebras, Volterra type operators on \(S^p(\mathbb{D})\) spaces, Invariant subspaces for Bishop operators and beyond, The commutant and invariant subspaces for dual truncated Toeplitz operators, ON THE DECOMPOSITION OF OPERATORS WITH SEVERAL ALMOST-INVARIANT SUBSPACES, An Extension of Lomonosov’s Techniques to Non-compact Operators, Comments on the cosmic convergence of nonexpansive maps, Invariant subspaces for non-normable Fréchet spaces, The invariant subspace problem for rank-one perturbations, A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem, The invariant subspace problem for the space of smooth functions on the real line, An explicit example concerning the invariant subspace problem for Banach spaces, Reducible representations of abelian groups, A property of strictly singular one-to-one operators, Hahn-Banach for metric functionals and horofunctions, Supercyclic subspaces: Spectral theory and weighted shifts, Invariant subspaces of operator algebras, The invariant subspaces of the shift plus integer multiple of the Volterra operator on Hardy spaces, Maximal tracial algebras, Banach Lie algebras with Lie subalgebras of finite codimension: their invariant subspaces and Lie ideals, On positive transitive operators, Infinite matrices with ``few non-zero entries and without non-trivial invariant subspaces, Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace?, On quasinilpotent operators and the invariant subspace problem, Hypercyclic operators on non-normable Fréchet spaces, Invariant subspaces for Fréchet spaces without continuous norm, An overview of some recent developments on the Invariant Subspace Problem, Orbital and spectral aspects of hypercyclic operators and semigroups, Operators with dense, invariant, cyclic vector manifolds, Spectral theory and hypercyclic subspaces, Invariant subspaces for tridiagonal operators., Invariant and almost-invariant subspaces for pairs of idempotents, On the invariant subspace problem
