Generalized $\gamma$-generating matrices and Nehari-Takagi problem
Functional Analysis
2015-12-22 v1
Abstract
Under certain mild assumption, we establish a one-to-one correspondence between solutions of the Nehari-Takagi problem and solutions of some Takagi-Sarason interpolation problem. The resolvent matrix of the Nehari-Takagi problem is shown to belong to the class of so-called generalized -generating matrices, which is introduced and studied in the paper.
Keywords
Cite
@article{arxiv.1512.06415,
title = {Generalized $\gamma$-generating matrices and Nehari-Takagi problem},
author = {Volodymyr Derkach and Olena Sukhorukova},
journal= {arXiv preprint arXiv:1512.06415},
year = {2015}
}
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17 pages