Tishchenko S. V.
Ukr. Mat. Zh. - 2007. - 59, № 1. - pp. 140–143
Let A be a unital semisimple topological nuclear *-algebra over C and let Z be its center. Then A is topologically isomorphic to M n (Z) if and only if A satisfies the standart identity and the maximality condition.
Ukr. Mat. Zh. - 2001. - 53, № 10. - pp. 1436-1439
We study a matrix algebra M n(U), where U is a commutative topological nuclear entire (bounded, analytic) *-algebra. We prove that M n(U) is also a topological nuclear entire (bounded, analytic) *-algebra.
Ukr. Mat. Zh. - 1997. - 49, № 6. - pp. 878–880
We prove that two self-adjoint operators that anticommute on the dense invariant domain of their common quasianalytic vectors are strongly anticommuting.
Ukr. Mat. Zh. - 1990. - 42, № 5. - pp. 713–716
Ukr. Mat. Zh. - 1982. - 34, № 4. - pp. 532—534