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Biography

Dr. Airat M. Bikchentaev

Institute of Mathematics and Mechanics

Kazan Federal University, Russia

Leading researcher


Email: Airat.Bikchentaev@kpfu.ru


Qualifications

2012 Dr. Sc., Kazan Federal University, Russia
1990 Ph.D., Kazan State University, Russia
1981 Graduate, Kazan State University, Russia


Publications (Selected)

  1. Bikchentaev A. M., On $\tau$-Compactness of Products of $\tau$-Measurable Operators, International Journal of Theoretical Physics, 2017, Vol. 56, No 12, 3819—3830. DOI 10.1007/s10773-017-3318-6
  2. Bikchentaev A.M. Two classes of tau-measurable operators affiliated with a von Neumann algebra, Russian Mathematics, 2017, Vol. 61, No 1, 76-80.
  3. Bikchentaev A.M. Differences of idempotents in C*-algebras, Siberian Mathematical Journal. 2017. Vol. 58, no 2. P. 183-189.
  4. Bikchentaev A.M. Commutativity of operators and the characterization of traces on C*-algebras. (Russian) Dokl. Akad. Nauk 448 (2013), no. 5, 506-509.
  5. Bikchentaev A.M. On invertibility of some operator sums. Lobachevskii J. Math. 33 (2012), no. 3, 216-222.
  6. Bikchentaev A.M. Commutativity of projectors and trace characterization on von Neumann algebras. II. (Russian) Mat. Zametki 89 (2011), no. 4, 483-494; translation in Math. Notes 89 (2011), no. 3-4, 461-471.
  7. Bikchentaev A.M., Yakushev R.S. Representation of tripotents and representations via tripotents. Linear Algebra Appl. 435 (2011), no. 9, 2156-2165.
  8. Bikchentaev  A.M. On the representation of elements of a von Neumann algebra in the form of finite sums of products of projections. (Russian) Sibirsk. Mat. Zh. 46 (2005), no. 1, 32-45; translation in Siberian Math. J. 46 (2005), no. 1, 24-34.
  9. Bikchentaev Airat. Majorization for products of measurable operators. Proceedings of the International Quantum Structures Association 1996 (Berlin). Internat. J. Theoret. Phys. 37 (1998), no. 1, 571.