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Rational transformations of systems of commuting nonselfadjoint operators

Alexander Shapiro·Victor Vinnikov
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Abstract

The work of M. S. Livšic 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.

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Alexander Shapiro, Victor Vinnikov. 2005-11-03. Rational transformations of systems of commuting nonselfadjoint operators. https://arxiv.org/abs/math/0511075

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