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Characteristic properties of Lorentz transformations

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Literature Cited

  1. M. G. Krein, “On self-adjoint extensions of bounded and semibounded Hermitian operators,” Dokl. Akad. Nauk SSSR,48, No. 5, 323–326 (1945).

    Google Scholar 

  2. M. G. Krein, “Theory of self-adjoint extensions of semibounded Hermitian operators and its applications,” Mat. Sb.,20, No. 3, 431–490 (1947).

    Google Scholar 

  3. M. G. Krein and M. A. Krasnosel'skii, “The principal theorems on extension of Hermitian operators and some of their applications to the of orthogonal polynomials and moment problems,” Usp. Mat. Nauk,2, No. 3, 60–106 (1947).

    Google Scholar 

  4. M. G. Krein and I. E. Ovcharenko, “On the theory of generalized resolvents for nondensely defined Hermitian contractions,” Dopov. Akad. Nauk Ukr. SSSR, No. 12, 881–884 (1976).

    Google Scholar 

  5. Yu. L. Shmul'yan, “Hellinger's operator integral,” Mat. Sb.,49, No. 4, 381–430 (1959).

    Google Scholar 

  6. T. Ando, “Truncated moment problems for operators,” Acta Sci. Math.,31, No. 3-4, 319–334 (1970).

    Google Scholar 

  7. F. R. Gantmacher, Theory of Matrices, Chelsea Publ. (1960).

  8. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space, Ungar.

  9. M. A. Naimark, Normed Rings [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  10. A. Brown and R. G. Douglas, “On maximum theorems for analytic operator functions,” Acta Sci. Math.,26, Nos. 3-4, 325–327 (1965).

    Google Scholar 

  11. G. M. Fel'dman, “On the spectrum of contractions depending analytically on a parameter,” Usp. Mat. Nauk.,24, No. 6, 179–180 (1974).

    Google Scholar 

  12. M. G. Krein and A. A. Nudel'man, The Markov Moment Problem and Extremal Problems [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  13. M. S. Brodskii, Triangular and Jordan Representations of Linear Operators [in Russian], Nauks, Moscow (1969);

    Google Scholar 

  14. K. Nishio and T. Ando, “Characterization of operations derived from network connections,” J. Math. Anal. Appl.,53, 539–549 (1976).

    Google Scholar 

  15. W. N. Anderson, Jr., “Shorted operators,” SIAM I. J. Appl. Math.,20, 520–525 (1971).

    Google Scholar 

  16. W. N. Anderson, Jr., and G. E. Trapp, “Parallel addition in Hilbert space,” in: Proceedings of the Sixteenth Midwest Symposium on Circuit Theory, Vol. 2.

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Authors
  1. V. K. Ionin
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 5, pp. 1027–1031, September–October, 1977.

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Ionin, V.K. Characteristic properties of Lorentz transformations. Sib Math J 18, 725–746 (1977). https://doi.org/10.1007/BF00967011

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