Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces
Sign Up to like & getrecommendations! Published in 2020 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-020-02592-7
Abstract: It is well known that the kernel of a Toeplitz operator is nearly invariant under the backward shift $S^*$. This paper shows that kernels of finite-rank perturbations of Toeplitz operators are nearly $S^*$-invariant with finite… read more here.
Keywords: toeplitz operators; backward shift; perturbations toeplitz; representing kernels ... See more keywords
Chaotic backward shift operator on Chebyshev polynomials
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792518000670
Abstract: We obtain the representation of the backward shift operator on Chebyshev polynomials involving a principal value (PV) integral. Twice the backward shift on the space of square-summable sequences l2 displays chaotic dynamics, thus we provide… read more here.
Keywords: backward shift; shift operator; chebyshev polynomials; operator ... See more keywords