Abstract

A sequence of recursively constructed matrices which are dyadic analogues of Hilbert matrices is considered. The operator norm of these matrices in a Euclidean space is studied. Estimates of norms of matrices optimal in order and their lower triangular parts are obtained.

中文翻译：

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具有任意元素Constantin二元块的矩阵的范数估计

摘要

考虑了一系列递归构造的矩阵，它们是希尔伯特矩阵的二进类似物。研究了欧式空间中这些矩阵的算子范数。获得了矩阵最优范数的估计，以及它们的下三角部分。