Invariant subspaces for the family of operators which commute with a completely continuous operator

  title={Invariant subspaces for the family of operators which commute with a completely continuous operator},
  author={Victor I. Lomonosov},
  journal={Functional Analysis and Its Applications},
  • V. Lomonosov
  • Published 1973
  • Mathematics
  • Functional Analysis and Its Applications
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Abstract : A proof is presented of the theorem that if B is a Banach space and if T is a completely continuous operator in B, there then exist proper invariant subspaces of T. The proof assumesExpand