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A Solution to the Invariant Subspace Problem
Author(s) -
Read C. J.
Publication year - 1984
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/16.4.337
Subject(s) - mathematics , invariant subspace , invariant subspace problem , subspace topology , invariant (physics) , pure mathematics , algebra over a field , mathematical analysis , linear subspace , mathematical physics , banach space , banach manifold , lp space
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.