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A Solution to the Invariant Subspace Problem on the Space l 1

1985/07/01 by C. J. Read · 1 citation
Mathematics · Computer Science · #Holomorphic and Operator Theory #Differential Equations and Boundary Problems #Matrix Theory and Algorithms #Mathematics #Invariant subspace #Subspace topology #Invariant subspace problem #Invariant (physics) #Reflexive operator algebra #Linear subspace #Operator (biology) #Pure mathematics #Discrete mathematics #Mathematical analysis #Algebra over a field #Mathematical physics #Operator space #Compact operator #Banach space #Finite-rank operator #Computer science

paper · doi:10.1112/blms/17.4.305

openalex publication_date 1985/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04

Abstract

In this paper, which is a sequel to our earlier paper [1], we slightly modify the methods used in [1] to produce a continuous linear operator on l1 with no nontrivial closed invariant subspace.

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