Valentina Ivanivna Gorbachuk (born 1937) is a Soviet and Ukrainian mathematician, specializing in operator theory and partial differential equations.

Education and career

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Gorbachuk was born in Mogilev on 25 June 1937; then part of the Soviet Union, it has since become part of Belarus. Her parents worked as an accountant and a telegraphist; in search of better work, they moved to Lutsk in what is now Ukraine when Gorbachuk was a child, and that is where she was schooled.[1]

She applied to study mathematics and mechanics at Taras Shevchenko National University of Kyiv, but was denied because of a "stay in the occupation". Instead, she went to the Lutsk Pedagogical Institute, graduating in 1959. On the advice of one of her faculty mentors there, S.I. Zuhovitsky,[1] she entered graduate study at the NASU Institute of Mathematics, as a student of Yury Berezansky [uk], earning a candidate degree (the Soviet equivalent of a Ph.D.) in the early 1960s.[1][2]

She continued as a researcher at the Institute of Mathematics for the rest of her career, defending a Doctor of Science (equivalent of a habilitation under the former Soviet system) in 1992.[1]

Books

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Gorbachuk is the coauthor, with M. L. Gorbachuk, of two books on operator theory, translated from Russian into English:

  • Boundary value problems for operator differential equations (Naukova Dumka, 1984; trans., Mathematics and its Applications 48, Kluwer, 1991)[3]
  • M. G. Krein’s lectures on entire operators (Operator Theory: Advances and Applications, 97, Birkhäuser, 1997)[4]

Recognition

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In 1998, Gorbachuk won the State Prize of Ukraine in Science and Technology.[1]

Personal life

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Gorbachuk worked closely with her husband, Miroslav L'vovich Gorbachuk [uk] (1938–2017), a mathematician with whom she shared her research interests.[1] Their son, Volodymyr Myroslavovich Gorbachuk, is an associate professor of mathematical physics at the Igor Sikorsky Kyiv Polytechnic Institute (National Technical University of Ukraine).[1][5]

References

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  1. ^ a b c d e f g "Valentina Ivanivna Gorbachuk (to 80th birthday anniversary)", Methods of Functional Analysis and Topology, 23 (3): 207–208, 2017, Zbl 1399.01003
  2. ^ Valentina Gorbachuk at the Mathematics Genealogy Project Note that this source states her Ph.D. year as 1964; Methods of Functional Analysis and Topology states it as 1962.
  3. ^ Reviews of Boundary value problems for operator differential equations: J. Wloka, Zbl 0567.47041; J. W. Macki, MR0776604; J. Mawhin, Zbl 0751.47025
  4. ^ Reviews of M. G. Krein’s lectures on entire operators: A. Pankov, Zbl 0883.47008; Damir Z. Arov and Harry Dym, MR1466698
  5. ^ Gorbachuk Volodymyr Myroslavovich, Igor Sikorsky Kyiv Polytechnic Institute, retrieved 2023-03-03