de Branges-Rovnyak空间中的插值

IF 1.3 Q2 STATISTICS & PROBABILITY Probability Surveys Pub Date : 2011-02-01 DOI:10.1090/S0002-9939-2010-10505-1

J. Ball, V. Bolotnikov, S. Horst

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引用次数: 14

摘要

研究了de Branges-Rovnyak空间中与解析函数映射开单元盘到闭单元盘相关的函数的算子参数插值问题。对于给定的Hilbert空间算子和来自同一空间的两个向量，采用Rosenblum-Rovnyak形式(具有适当的解释)表示插值条件。

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Interpolation in de Branges-Rovnyak spaces

A general interpolation problem with operator argument is studied for functions from the de Branges-Rovnyak space associated with an analytic function mapping the open unit disk into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form (with a suitable interpretation of ) for given Hilbert space operator and two vectors from the same space.

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