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 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
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]
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]