English

Entropy of a unitary operator on $l^2(\mathbb{N}_0)$

Dynamical Systems 2023-12-12 v1

Abstract

In this article we continue to study the concept of entropy introduced in [4], [15]-[17]. We calculate entropy for a wider class of finite-dimensional operators in comparison with [15]. We also approximate the entropy of a unitary operator on l2(N0)l^2(\mathbb{N}_0) by the entropy of finite-dimensional operators. Finally we calculate the entropy of several operators on l2(N0)l^2(\mathbb{N}_0).

Keywords

Cite

@article{arxiv.2312.05367,
  title  = {Entropy of a unitary operator on $l^2(\mathbb{N}_0)$},
  author = {Andrei Chernyshev},
  journal= {arXiv preprint arXiv:2312.05367},
  year   = {2023}
}