On the invariant subspace problem for Banach spaces

1987/01/01 by Per Enflo · 7 citations
Mathematics · #Differential Equations and Boundary Problems #advanced mathematical theories #Advanced Banach Space Theory #Mathematics #Invariant subspace problem #Banach space #Invariant subspace #Subspace topology #Invariant (physics) #Banach manifold #Eberlein–Šmulian theorem #Pure mathematics #Interpolation space #Lp space #Linear subspace #Mathematical analysis #Functional analysis #Mathematical physics

paper · pdf · doi:10.1007/bf02392260

openalex publication_date 1987/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

mk, G * , nc case ~I,B, ml,B~, O-2,B, m2,B, .",ink, B' ~k 1 "'" n-I ~ " By Sublemma 4.1 of Section 4 we can assume that there is a uniform bound on i+ Ikl.Thus there exists R n depending only on I I n-I such that deg (q-t)(x)<~Rn.We have [q--tll1>[q--trl> 1 en 16 228 v. ENFLO Since ]tll<e,/16 we get

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