A Solution to the Invariant Subspace Problem

1984/07/01 by C. J. Read · 4 citations
Mathematics · #Advanced Banach Space Theory #Nonlinear Differential Equations Analysis #Advanced Topics in Algebra #Mathematics #Invariant subspace #Invariant subspace problem #Subspace topology #Invariant (physics) #Pure mathematics #Applied mathematics #Algebra over a field #Mathematical analysis #Linear subspace #Mathematical physics #Banach space

paper · doi:10.1112/blms/16.4.337

openalex publication_date 1984/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04

Abstract

In this paper we exhibit a Banach space X, and a continuous linear operator T: X → X, such that X has no nontrivial closed T-invariant subspace.

Cited by

• A hereditarily indecomposable L_∞ -space that solves the scalar-plus-compact problem
• The Invariant Subspace Problem for Non-Archimedean Banach Spaces
• Almost invariant half-spaces of operators on Banach spaces
• Invariant subspace problem [wikipedia]