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Generalizations of a theorem of doležal

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References

  1. N. Bourbaki,Algebra, Chap. 7, 2nd Edition, Hermann, Paris, 1964.

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  2. V. Doležal, The existence of a continuous basis of a certain linear subspace ofE r which depends on a parameter,Cas. Pro. Pest. Mat. 89 (1964), 466–468.

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  3. T. Kato,Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966, pp. 121–122.

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  4. F. Rellich, Storungstheorie der Spektralzerlegung, I,Math. Ann. 113 (1931), 600–619.

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  5. Leonard Weiss andP. L. Falb, Doležal's theorem, linear algebra with continuously parametrized elements and time-varying systems,Math. Systems Theory 3 (1969), 67–75.

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Authors and Affiliations

  1. University of Southern California, USA

    L. M. Silverman & R. S. Bucy

Authors
  1. L. M. Silverman
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  2. R. S. Bucy
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This research was supported by the Air Force Office of Scientific Research under Contract AF-AFOSR 496-67 and Grant AF-AFOSR 1244-67B.

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Silverman, L.M., Bucy, R.S. Generalizations of a theorem of doležal. Math. Systems Theory 4, 334–339 (1970). https://doi.org/10.1007/BF01704077

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