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A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves

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Abstract

With the help of points of an algebraic curve we construct prolongations and triangular models of commuting operators in Hilbert space. A canonical triangular model of two arbitrary commuting operators in a finite dimensional space is obtained.

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References

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  1. Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel

    M. S. Livšic

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  1. M. S. Livšic
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Livšic, M.S. A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves. Integr equ oper theory 3, 489–507 (1980). https://doi.org/10.1007/BF01702312

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  • DOI: https://doi.org/10.1007/BF01702312

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