6 citations · 6 across the 2 of their papers we have counts for
3 papers
math.FA2025
On invariant subspaces of a linear operator
M. I. Belishev, S. A. Simonov
We discuss the concept of invariant subspaces for unbounded linear operators, point out some shortcomings of known definitions, and propose our own.
math-ph2023
A functional model of a class of symmetric semi-bounded operators
M. I. Belishev, S. A. Simonov
Let be a closed symmetric positive definite operator with nonzero defect indices in a separable Hilbert space . It determines a family of dynamical…
math-ph2018★ 6 cited
On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time
A. S. Mikhaylov, V. S. Mikhaylov, S. A. Simonov
We derive special representation for Weyl functions for finite and semi-infinite Jacobi matrices with bounded entries based on a relationship between spectral problem for Jacobi ma…