Criteria for algebraic operators to be unitary

Zenon Jan Jablonski; Il Bong Jung; Jan Stochel

Criteria for algebraic operators to be unitary

Functional Analysis 2024-04-15 v1

Authors: Zenon Jan Jablonski , Il Bong Jung , Jan Stochel

Abstract

Criteria for an algebraic operator $T$ on a complex Hilbert space $\mathcal{H}$ to be unitary are established. The main one is written in terms of the convergence of sequences of the form $\{\|T^nh\|\}_{n=0}^{\infty}$ with $h\in \mathcal{H}$ . Related questions are also discussed.

Keywords

algebraic operator unitary operator Hilbert space power sequence convergence

Cite

@article{arxiv.2404.08386,
  title  = {Criteria for algebraic operators to be unitary},
  author = {Zenon Jan Jablonski and Il Bong Jung and Jan Stochel},
  journal= {arXiv preprint arXiv:2404.08386},
  year   = {2024}
}

Comments

9 pages

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