Functional Analysis and Its Applications

, Volume 7, Issue 3, pp 213–214 | Cite as

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

  • V. I. Lomonosov


Functional Analysis Invariant Subspace Continuous Operator 
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Literature Cited

  1. 1.
    N. Aronszajn and K. Smith, "Invariant subspaces of completely continuous operators," Ann. Math.,60, 345–350 (1954).Google Scholar
  2. 2.
    N. Dunford and J. Schwartz, Linear Operators, Vol. 2, Interscience (1958).Google Scholar
  3. 3.
    A. Bernstein and A. Robinson, "Solutions of an invariant subspace problem of K. Smith and P. Halmos," Pacific J. Math.,16, 421–431 (1966).Google Scholar
  4. 4.
    P. Halmos, "Ten problems in Hilbert space," Bull. Amer. Math. Soc.,76, No. 5, 887–933 (1970).Google Scholar

Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • V. I. Lomonosov

There are no affiliations available

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