A fixed point approach to Nehari’s problem and its applications
نویسندگان
چکیده
We introduce a new approach to Nehari’s problem. This approach is based on some kind of fixed point theorem and allows us to obtain some useful generalizations of Nehari’s and Adamyan – Arov – Krein (AAK) theorems. Among those generalizations: descriptions of Hankel operators in weighted 2 spaces; descriptions of Hankel operators from Dirichlet type spaces to weighted Bergman spaces; commutant lifting theorem for non-contractive operators; AAK theorem for “four block operator” etc.
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