A reflexive hereditarily indecomposable space with the hereditary invariant subspace property

DOI10.1112/plms/pdt062zbMath1308.46013arXiv1111.3603OpenAlexW3099944589MaRDI QIDQ5494388

Spiros A. Argyros, Pavlos Motakis

Publication date: 28 July 2014

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

Full work available at URL: https://arxiv.org/abs/1111.3603

zbMATH Keywords

reflexive spaceinvariant subspace problemhereditarily indecomposable space

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Invariant subspaces of linear operators (47A15) Banach sequence spaces (46B45) Asymptotic theory of Banach spaces (46B06)

Related Items (17)

On the solution of the scalar-plus-compact problem by Argyros and Haydon ⋮ Arbitrarily distortable Banach spaces of higher order ⋮ A dual method of constructing hereditarily indecomposable Banach spaces ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Remarks on Spaces of Compact Operators between Reflexive Banach Spaces ⋮ Separable spaces of continuous functions as Calkin algebras ⋮ A hereditarily indecomposable Banach space with rich spreading model structure ⋮ Strictly singular operators in Tsirelson like spaces ⋮ The scalar-plus-compact property in spaces without reflexive subspaces ⋮ Time stopping for Tsirelson's norm ⋮ Invariant subspaces for non-normable Fréchet spaces ⋮ The invariant subspace problem for rank-one perturbations ⋮ On the complete separation of asymptotic structures in Banach spaces ⋮ Asymptotically symmetric spaces with hereditarily non-unique spreading models ⋮ Unnamed Item ⋮ The stabilized set of \(p\)'s in Krivine's theorem can be disconnected ⋮ A study of conditional spreading sequences

This page was built for publication: A reflexive hereditarily indecomposable space with the hereditary invariant subspace property