3 papers
math.SP2025
Block Jacobi matrices and Titchmarsh-Weyl function
Marcin Moszyński, Grzegorz Świderski
We collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and bett…
math.SP2023
Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
Marcin Moszyński, Grzegorz Świderski
We explore to what extent the relation between the absolute continuous spectrum and non-existence of subordinate generalized eigenvectors, known for scalar Jacobi operators, can be…
math.SP2022
Spectral Theory of Self-adjoint Finitely Cyclic Operators and Introduction to Matrix Measure -spaces
Marcin Moszyński
We study finitely cyclic self-adjoint operators in a Hilbert space, i.e. self-adjoint operators that posses such a finite subset in the domain that the orbits of all its elements w…