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

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. N. Aronszajn and K. Smith, "Invariant subspaces of completely continuous operators," Ann. Math.,60, 345–350 (1954).

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  2. N. Dunford and J. Schwartz, Linear Operators, Vol. 2, Interscience (1958).

  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).

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  4. P. Halmos, "Ten problems in Hilbert space," Bull. Amer. Math. Soc.,76, No. 5, 887–933 (1970).

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Authors
  1. V. I. Lomonosov
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Additional information

Central Scientific-Research Institute for Electronics and Coal. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 7, No. 3, pp. 55–56, July–September, 1973.

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Lomonosov, V.I. Invariant subspaces for the family of operators which commute with a completely continuous operator. Funct Anal Its Appl 7, 213–214 (1973). https://doi.org/10.1007/BF01080698

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  • DOI: https://doi.org/10.1007/BF01080698

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