Operator-valued rational functions

نویسندگان

چکیده

We show that every inner divisor of the operator-valued coordinate function, zIE, is a Blaschke-Potapov factor. also introduce notion “rational” function and then Δ two-sided rational if only it can be represented as finite product; this extends to functions well-known result proved by V.P. Potapov for matrix-valued functions.

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2022

ISSN: ['0022-1236', '1096-0783']

DOI: https://doi.org/10.1016/j.jfa.2022.109640