Abstract
The notion of a Bezout operator, previously known for some special classes of scalar entire functions and for matrix and operator polynomials, is introduced for general analytic operator functions. Our approach is based on representing the operator functions involved in realized form. Basic properties of Bezout operators are established and known Bezout operators are shown to be specific realizations of our general concept.
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The work of this author was supported by the United States-Israel Binational Science Foundation Grant 88-00304.
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Haimovici, I., Lerer, L. Bezout operators for analytic operator functions, I. A general concept of Bezout operator. Integr equ oper theory 21, 33–70 (1995). https://doi.org/10.1007/BF01262991
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DOI: https://doi.org/10.1007/BF01262991