Rational transformations of systems of commuting nonselfadjoint operators
Alexander Shapiro, Victor Vinnikov
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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