English

Rational transformations of systems of commuting nonselfadjoint operators

Algebraic Geometry 2007-05-23 v1

Abstract

The work of M. S. Liv\v{s}ic and his collaborators in operator theory associates to a system of commuting nonselfadjoint operators an algebraic curve. Guided by the notion of rational transformation of algebraic curves, we define the notion of a rational transformation of a system of commuting nonselfadjoint operators.

Keywords

Cite

@article{arxiv.math/0511075,
  title  = {Rational transformations of systems of commuting nonselfadjoint operators},
  author = {Alexander Shapiro and Victor Vinnikov},
  journal= {arXiv preprint arXiv:math/0511075},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:26:51.825Z