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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Invariant subspaces of certain linear operators


Author: Ky Fan
Journal: Bull. Amer. Math. Soc. 69 (1963), 773-777
DOI: https://doi.org/10.1090/S0002-9904-1963-11028-9
MathSciNet review: 0158268
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  • 1. N. Bourbaki, Espaces vectoriels topologiques, Actualités Sci. Ind., nos. 1189, 1229, Hermann, Paris, 1953, 1955.
  • 2. K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Ann. 142 (1961), 305-310. MR 131268
  • 3. I. S. Iohvidov, Unitary operators in a space with indefinite metric, Zapiski Har'kov. Mat. Obšč. (4) 21 (1949), 79-86. (Russian) MR 81452
  • 4. I. S. Iohvidov and M. G. Kreĭn, Spectral theory of operators in spaces with an indefinite metric. I, Trudy Moskov. Mat. Obšč. 5 (1956), 367-432 (Russian); English transl., Amer. Math. Soc. Transl. (2) 13 (1960), 105-175. MR 113145
  • 5. M. G. Kreĭn, On an application of the fixed-point principle in the theory of linear transformations of spaces with an indefinite metric, Uspehi Mat. Nauk 5 (1950), no. 2(36), 180-190 (Russian); English transl., Amer. Math. Soc. Transl. (2) 1 (1955), 27-35. MR 48702
  • 6. L. S. Pontrjagin, Hermitian operators in spaces with indefinite metric, Izv. Akad. Nauk SSSR. Ser. Mat. 8 (1944), 243-280. (Russian. English summary) MR 12200


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1963-11028-9

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