Kadets, Mikhail Iosifovich

The father of mathematician Vladimir Kadets (born 1960). Doctor of physico-mathematical sciences (1963), professor (1964). Honored Worker of Science and Technology of the Ukrainian SSR (1991). Gos. Prize of Ukraine in the field of n. and t. (2005). Member of World War II. He graduated from Kharkov University (1950).

He worked at the Makeevka Research Institute of the Ministry of Coal of the USSR (Donetsk Region, 1950-57); Kharkiv Automobile and Road Institute (1957-60) and the Higher Aviation School (1960-65); at the Kharkov Academy of Municipal Economy (1965-2011): head, and since 1992 - professor at the Department of Higher Mathematics. Studies are devoted to the problems of function theory and functional analysis, in particular to the study of the topological and geometric properties of Banach spaces. He proved the homeomorphism of all separable dimensionless Banach spaces, found an asymptotically exact estimate of the projection constants of finite normative spaces (et al.).

• On minimal systems and quasi-complements in a Banach space // Dokl. USSR Academy of Sciences. 1962. T. 145, No. 2 (et al.);
• Base sequences, biorthogonal systems, and normalizing sets in Banach and Frechet spaces // Studia Mathematica. 1965. Vol. 25, No. 3 (et al.);
• Proof of the topological equivalence of all separable infinite-dimensional Banach spaces // Funkts. analysis and its applications. 1967. T. 1, No. 1;
• Rearrangement of rows in Banach spaces. Tartu, 1988 (et al.); Series in Banach Spaces: Conditional and Unconditional Convergence. Basel Boston; Berlin, 1997 (et al.).

• Kadets Mikhail Iosifovich // Encyclopedia of Modern Ukraine