The Invariant Subspace Problem on Some Banach Spaces with Separable Dual

DOI10.1112/PLMS/S3-58.3.583zbMath0686.47010OpenAlexW1977877692MaRDI QIDQ4204670

Charles John Read

Publication date: 1989

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-58.3.583

zbMATH Keywords

cyclic operator\(\ell _ 2\)-sum of an infinite sequence of copies of the James spacenuclear perturbation of the sum of weighted shifts

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Invariant subspaces of linear operators (47A15)

Related Items (4)

A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ An explicit example concerning the invariant subspace problem for Banach spaces ⋮ Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace?

This page was built for publication: The Invariant Subspace Problem on Some Banach Spaces with Separable Dual