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Preorders and equivalences on the operator sphere

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Literature Cited

  1. T. Ando, J. Suciu, and D. Timotin, “Characterization of some Harnack parts of contractions,” Proc. IV Conf. Oper. Theory Timisoara, 23–25 (1981).

  2. V. A. Khatskevich, Yu. L. Shmul'yan, and V. S. Shul'man, “On equivalent contractions,” Dokl. Akad. Nauk SSSR,278, No. 1, 173–176 (1984).

    Google Scholar 

  3. Yu. L. Shmul'yan, “Generalized fractional linear transformations of operator spheres,” Sib. Mat. Zh.,21, No. 1, 114–131 (1980).

    Google Scholar 

  4. V. A. Senderov and V. A. Khatskevich, On Congruence Components of the Set of Maximal Nonnegative Subspaces of Krein Space [in Russian], VINITI, No. 1263-82, Moscow (1982).

    Google Scholar 

  5. J. Suciu, “Analytic relations between functional models of contractions,” Acta Sci. Math.,38, 359–365 (1973).

    Google Scholar 

  6. Z. Ceausescu, “On intertwining dilations,” Acta Sci. Math.,38, 359–365 (1973).

    Google Scholar 

  7. Yu. L. Shmul'yan, “Two-sided division in a ring of operators,” Mat. Zametki,1, No. 5, 605–610 (1967).

    Google Scholar 

  8. B. Sekefalvi-Nad and C. Foyash, Harmonic Analysis of Operators in a Hilbert Space [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  9. S. Phillips, “On symplectic mappings of contraction operators,” Stud. Math.,31, 17–29 (1968).

    Google Scholar 

  10. H. S. Bear, “Lectures on Gleason parts,” Lect. Notes Math.,121, 1–47 (1970).

    Google Scholar 

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Authors
  1. V. A. Khatskevich
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  2. Yu. L. Shmul'yan
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  3. V. S. Shul'man
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Additional information

Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 172–183, May–June, 1991.

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Khatskevich, V.A., Shmul'yan, Y.L. & Shul'man, V.S. Preorders and equivalences on the operator sphere. Sib Math J 32, 496–506 (1991). https://doi.org/10.1007/BF00970489

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  • DOI: https://doi.org/10.1007/BF00970489

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